Registration No. 333-13475

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
                            ------------------------
                         Post-Effective Amendment No. 1
                                       to
                                    Form S-8

                             REGISTRATION STATEMENT
                                      UNDER
                           THE SECURITIES ACT OF 1933
                            ------------------------
                               HALLIBURTON COMPANY
             (Exact name of Registrant as specified in its charter)
          Delaware                                         75-2677995
(State or other jurisdiction of                        (I.R.S. Employer
incorporation or organization)                         Identification No.)
                               3600 Lincoln Plaza
                                500 N. Akard St.
                               Dallas, Texas 75201
          (Address of principal executive offices, including zip code)

LANDMARK GRAPHICS CORPORATION 1987 NON-QUALIFIED STOCK OPTION PLAN, LANDMARK
GRAPHICS CORPORATION 1989 FLEXIBLE STOCK OPTION PLAN, THE DIRECTORS' STOCK
OPTION PLAN OF LANDMARK GRAPHICS CORPORATION, LANDMARK GRAPHICS CORPORATION
CONSULTANTS' STOCK OPTION PLAN, LANDMARK GRAPHICS CORPORATION 1990 EMPLOYEE
STOCK OPTION PLAN AND LANDMARK GRAPHICS CORPORATION 1994 FLEXIBLE INCENTIVE PLAN
                            (Full title of the plan)

                                LESTER L. COLEMAN
                  EXECUTIVE VICE PRESIDENT AND GENERAL COUNSEL
                               HALLIBURTON COMPANY
                               3600 Lincoln Plaza
                                500 N. Akard St.
                               Dallas, Texas 75201
                     (Name and address of agent for service)

                                 (214) 978-2600
          (Telephone number, including area code, of agent for service)

This  post-effective  amendment  is being  filed  pursuant to Rule 414 under the
Securities  Act of 1933,  as amended  (the  "Securities  Act"),  to reflect  the
adoption by Halliburton  Company, a Delaware corporation (now Halliburton Energy
Services,  Inc.) (the  "Company"),  of a holding company form of  organizational
structure.  The holding company organizational  structure was implemented by the
merger (the "Merger") of Halliburton Merge Co., a Delaware corporation, with and
into  the  Company,  with  the  Company  being  the  surviving  corporation,  in
accordance with Section 251(g) of the Delaware  General  Corporation Law. In the
Merger,  which was consummated at 11:30 a.m., Eastern Standard Time, on December
12, 1996 (the "Effective  Time"),  each share of the common stock of the Company
issued and  outstanding  or held in its treasury was converted into one share of
common stock of Halliburton Hold Co., a Delaware corporation (the "Registrant"),
the  Registrant  became the holding  company  for the Company and its  operating
subsidiaries and the Company became an indirect  wholly-owned  subsidiary of the
Registrant.  At the  Effective  Time,  the name of the  Company  was  changed to
Halliburton Energy Services, Inc. and shortly after the Effective Time, the name
of the Registrant was changed to Halliburton Company.

In accordance with Rule 414, the  Registrant,  as the successor  issuer,  hereby
expressly adopts this Registration  Statement,  as well as the plans to which it
relates,  of the Company as its own for all purposes of the  Securities  Act and
the Securities Exchange Act of 1934, as amended (the "Exchange Act").

The  registration  fees  were  paid at the time of the  original  filing of this
Registration Statement.









                                     PART II

INFORMATION REQUIRED IN THE REGISTRATION STATEMENT

Item 3.  Incorporation of Documents by Reference.

     The following  documents,  heretofore  filed with the SEC by the Registrant
     pursuant to the Exchange Act, are incorporated herein by reference.

         (a) The  Registrant's  Annual  Report on Form  10-K for the year  ended
     December 31, 1996;

         (b) The  Registrant's  Quarterly  Report on Form  10-Q for the  quarter
     ended March 31, 1997;

         (c) The  Registrant's  Current  Reports on Form 8-K dated  January  13,
     1997,  January 22, 1997, January 29, 1997,  February 6, 1997,  February 11,
     1997 (two reports), February 20, 1997, March 3, 1997, March 14, 1997, March
     27, 1997, April 23, 1997 and May 7, 1997 (two reports); and

         (d)  The  description  of the  Common  Stock  and the  Preferred  Stock
     Purchase Rights contained in the  Registration  Statement on Form 8-B dated
     December 12, 1996.

         All documents subsequently filed by the Registrant pursuant to Sections
13(a),  13(c), 14 and 15(d) of the Securities Exchange Act of 1934, prior to the
filing of a post-effective amendment which indicates that all securities offered
have been sold or which deregisters all securities then remaining unsold,  shall
be deemed to be incorporated by reference in this Registration  Statement and to
be a part hereof from the date of filing of such documents.

Item 6.  Indemnification of Directors and Officers.

         Section  145 of the  General  Corporation  Law of the State of Delaware
(the "DGCL")  generally  gives a  corporation  the power to indemnify any of its
officers or directors  against certain  expenses  (including  attorneys'  fees),
judgments,  fines and amounts  paid in  settlement  in  connection  with certain
threatened,   pending  or  completed  actions,  suits  or  proceedings  provided
generally  that such  person  acted in good faith and in a manner he  reasonably
believed to be in or not opposed to the interests of the corporation,  and, with
respect to any  criminal  action or  proceeding,  had no reason to  believe  his
conduct was unlawful.

         Article TENTH of the  Registrant's  Certificate  of  Incorporation,  as
amended,  traces  substantially  all of the language of Section 145 of the DGCL.
Such Article provides that the Registrant shall indemnify  officers,  directors,
employees  and  agents  of  the   Registrant   in  those   instances  and  under
circumstances where indemnification is authorized under said statute.

         Provisions  of the  Registrant's  By-laws,  as  amended,  also  provide
generally  that while  serving as a director or officer of the  Registrant  such
director or officer shall be indemnified and held harmless to the fullest extent
authorized by the DGCL, as the same exists or as it may hereafter be amended.

         The Registrant has entered into indemnification agreements with each of
its directors  which provide for  indemnification  as permitted by the DGCL, and
provide that the Registrant will pay certain expenses  incurred by a director in
connection with any threatened, pending or completed action, suit or proceeding,
whether criminal or civil, where the director's  involvement is by reason of the
fact  that he is or was a  director  of the  Registrant.  Such  amounts  include
attorneys' fees and other expenses customarily incurred in connection with legal
proceedings and, in the case of proceedings other than actions by or in the name
of the Registrant,  judgments,  fines,  penalties and amounts paid in settlement
actually and reasonably incurred. A director will be entitled to indemnification
under  such  agreements  if he acted  in good  faith  and in a  manner  which he
reasonably  believed  was in,  or not  opposed  to,  the best  interests  of the
Registrant,  and with  respect  to any  criminal  proceeding,  had no  reason to
believe his conduct was unlawful.




                                       2



         Article FIFTEENTH of the Registrant's Certificate of Incorporation,  as
amended,  generally  provides  that a director  of the  Registrant  shall not be
liable to the Registrant or its  stockholders for monetary damages for breach of
fiduciary  duty,  except for any  matter  under  Section  174 of the DGCL or any
amendment  thereto  or by  reason  that,  in  addition  to  any  and  all  other
requirements for such liability,  such director (i) shall have breached the duty
of loyalty to the Registrant or its  stockholders,  (ii) in acting or failing to
act,  shall  not have  acted  in good  faith  or  shall  have  acted in a manner
involving  intentional  misconduct or a knowing  violation of law or (iii) shall
have derived an improper personal benefit.

         The  Registrant  provides  liability  insurance  for its  directors and
officers for certain  losses  arising  from claims or charges  which may be made
against  them while acting in their  capacities  as directors or officers of the
Registrant.

Item 8.  Exhibits.

4.1      Certificate of Incorporation,  as amended,  filed with the Secretary of
         State of the State of Delaware  (incorporated  by  reference to Exhibit
         3.1 to the  Registrant's  Registration  Statement  on  Form  8-B  dated
         December 12, 1996, File No. 1-03492).

4.2      By-laws of the  Registrant, as amended  (incorporated  by reference  to
         Exhibit  3.2 to the  Registrant's  Registration  Statement  on Form 8-B
         dated December 12, 1996, File No. 1-03492).

4.3      Rights  Agreement dated as of December 1, 1996,  between the Registrant
         and  ChaseMellon   Shareholder   Services,   L.L.C.,  as  Rights  Agent
         (incorporated   by  reference  to  Exhibit  4.4  to  the   Registrant's
         Registration  Statement on Form 8-B dated  December 12, 1996,  File No.
         1-03492).

5        Opinion of Vinson & Elkins L.L.P. as to  the legality of the securities
         being registered.

23.1     Consent of Arthur Andersen LLP.

23.2     Consent  of Vinson & Elkins  L.L.P. included  in the  opinion  filed as
         Exhibit 5 to this Registration Statement.

24       Powers  of  attorney   authorizing   certain   officers  to  sign  this
         Registration Statement and amendments thereto on behalf of directors.

Item 9.  Undertakings.

     (a)  The Registrant hereby undertakes:

         (1) To file, during any period in which offers or sales are being made,
     a post-effective amendment to this Registration Statement:

              (i)  To include any prospectus required by section 10(a)(3) of the
         Securities Act of 1933;

              (ii) To  reflect  in the  prospectus  any facts or events  arising
         after the  effective  date of the  Registration  Statement (or the most
         recent post-effective amendment thereof) which,  individually or in the
         aggregate,  represent a fundamental change in the information set forth
         in the Registration Statement;

              (iii)To include any material  information with respect to the plan
         of distribution not previously disclosed in the Registration  Statement
         or  any  material  change  to  such  information  in  the  Registration
         Statement;

     provided, however, that paragraphs (a)(1)(i) and (a)(1)(ii) do not apply if
     the information  required to be included in a  post-effective  amendment by
     those  paragraphs is contained in periodic  reports filed with or furnished
     to the Commission by the Registrant pursuant to section 13 or section 15(d)
     of the Securities  Exchange Act of 1934 that are  incorporated by reference
     in this Registration Statement.



                                       3


         (2) That,  for the  purpose  of  determining  any  liability  under the
     Securities Act of 1933, each such post-effective  amendment shall be deemed
     to be a new  registration  statement  relating  to the  securities  offered
     therein,  and the offering of such  securities at that time shall be deemed
     to be the initial bona fide offering thereof.

         (3) To remove from registration by means of a post-effective  amendment
     any  of  the  securities  being  registered  which  remain  unsold  at  the
     termination of the offering.

     (b) The Registrant  hereby undertakes that, for purposes of determining any
liability  under the  Securities  Act of 1933,  each filing of the  Registrant's
annual  report  pursuant  to section  13(a) or section  15(d) of the  Securities
Exchange Act of 1934 (and, where applicable,  each filing of an employee benefit
plan's annual report pursuant to section 15(d) of the Securities Exchange Act of
1934) that is incorporated by reference in this Registration  Statement shall be
deemed to be a new  registration  statement  relating to the securities  offered
therein,  and the offering of such securities at that time shall be deemed to be
the initial bona fide offering thereof.

     (h) Insofar as indemnification for liabilities arising under the Securities
Act of 1933 may be permitted to directors,  officers and controlling  persons of
the  Registrant  pursuant  to  the  foregoing  provisions,   or  otherwise,  the
Registrant  has been advised that in the opinion of the  Securities and Exchange
Commission  such  indemnification  is against  public policy as expressed in the
Securities Act and is, therefore,  unenforceable.  In the event that a claim for
indemnification  against  such  liabilities  (other  than  the  payment  by  the
Registrant of expenses  incurred or paid by a director,  officer or  controlling
person of the  Registrant  in the  successful  defense  of any  action,  suit or
proceeding)  is  asserted by such  director,  officer or  controlling  person in
connection with the securities being registered,  the Registrant will, unless in
the opinion of its counsel the matter has been settled by controlling precedent,
submit  to a  court  of  appropriate  jurisdiction  the  question  whether  such
indemnification  by it is against  public policy as expressed in the  Securities
Act and will be governed by the final adjudication of such issue.

                                   SIGNATURES

     Pursuant to the  requirements of the Securities Act of 1933, the Registrant
certifies  that it has  reasonable  grounds to believe  that it meets all of the
requirements  for  filing  on Form S-8 and has  duly  caused  this  Registration
Statement  to be  signed  on its  behalf  by  the  undersigned,  thereunto  duly
authorized,  in the City of Dallas, State of Texas, on this the 15th day of May,
1997.

                                          HALLIBURTON COMPANY


                                          By   /s/ RICHARD B. CHENEY
                                              ---------------------------------
                                               Richard B. Cheney
                                               Chairman of the Board, President
                                                and Chief Executive Officer

     Pursuant  to  the   requirements  of  the  Securities  Act  of  1933,  this
Registration  Statement  has  been  signed  by  the  following  persons  in  the
capacities and on the dates indicated.

          Signature                        Title                      Date

    /s/ RICHARD B. CHENEY       Chairman of the Board, President    May 15, 1997
- ------------------------------  and Chief Executive Officer and Director
     Richard B. Cheney          (Principal Executive Officer)    
                          


    /s/ DAVID J. LESAR          Executive Vice President            May 15, 1997
- ------------------------------  and Chief Financial Officer
     David J. Lesar             (Principal Financial Officer)    
                          




                                       4




    /s/ R. CHARLES MUCHMORE     Vice President and Controller       May 15, 1997
- ------------------------------  (Principal Accounting Officer)
     R. Charles Muchmore

    *  ANNE L. ARMSTRONG        Director                            May 15, 1997
- ------------------------------
       Anne L. Armstrong


    *  LORD CLITHEROE           Director                            May 15, 1997
- ------------------------------
      Lord Clitheroe


    *  ROBERT L. CRANDALL       Director                            May 15, 1997
- ------------------------------
       Robert L. Crandall


    *  W. R. HOWELL             Director                            May 15, 1997
- ------------------------------
      W. R. Howell


    *  DALE P. JONES            Director                            May 15, 1997
- ------------------------------
      Dale P. Jones


    *  DELANO E. LEWIS          Director                            May 15, 1997
- ------------------------------
      Delano E. Lewis


    *  C. J. SILAS              Director                            May 15, 1997
- ------------------------------
      C. J. Silas


    *  ROGER T. STAUBACH        Director                            May 15, 1997
- ------------------------------
      Roger T. Staubach


    *  RICHARD J. STEGEMEIER    Director                            May 15, 1997
- ------------------------------
      Richard J. Stegemeier


    *  E. L. WILLIAMSON         Director                            May 15, 1997
- ------------------------------       
      E. L. Williamson


*By:  /s/ SUSAN S. KEITH
    --------------------------  
       Susan S. Keith
         Pursuant to
      Power of Attorney


Date:  May 15, 1997







                                       5




                                INDEX TO EXHIBITS

Exhibit No.       Description                                           Page No.

**4.1      Certificate  of  Incorporation, as  amended, filed  with the
           Secretary of State of the State of Delaware (incorporated by
           reference  to Exhibit 3.1 to the  Registrant's  Registration
           Statement  on Form 8-B dated  December  12,  1996,  File No.
           1-03492).

**4.2      By-laws of  the  Registrant,  as  amended  (incorporated  by
           reference  to Exhibit 3.2 to the  Registrant's  Registration
           Statement  on Form 8-B dated  December  12,  1996,  File No.
           1-03492).

**4.3      Rights  Agreement dated as of December  1, 1996, between the
           Registrant and ChaseMellon Shareholder Services,  L.L.C., as
           Rights  Agent  (incorporated  by reference to Exhibit 4.4 to
           the  Registrant's  Registration  Statement on Form 8-B dated
           December 12, 1996, File No. 1-03492).

*5         Opinion  of Vinson & Elkins L.L.P. as to the legality of the     7
           securities being registered.

*23.1      Consent of Arthur Andersen LLP.                                  9

*23.2      Consent of Vinson & Elkins L.L.P.  included in  the  opinion
           filed as Exhibit 5 to this Registration Statement.               7

*24        Powers of attorney authorizing certain officers to sign this    10
           Registration Statement  and amendments thereto on behalf  of
           directors.

- --------------------

*        Filed herewith.

**       Previously filed.



                                   6


                                                                       EXHIBIT 5



          [LETTERHEAD OF VINSON & ELKINS L.L.P. APPEARS HERE]






                              May 15, 1997

Halliburton Company
3600 Lincoln Plaza
500 North Akard Street
Dallas, Texas   75201-3391

Ladies and Gentlemen:

         We  have  acted  as  counsel  for  Halliburton   Company,   a  Delaware
corporation  (the  "Company"),  for a number of years, and are familiar with the
Landmark Graphics  Corporation 1987  Non-Qualified  Stock Option Plan,  Landmark
Graphics  Corporation  1989 Flexible  Stock Option Plan,  The  Directors'  Stock
Option Plan of Landmark  Graphics  Corporation,  Landmark  Graphics  Corporation
Consultants'  Stock Option Plan,  Landmark  Graphics  Corporation  1990 Employee
Stock Option Plan and Landmark Graphics Corporation 1994 Flexible Incentive Plan
(collectively,   the  "Plans").   We  have  assisted  in  the   preparation   of
Post-Effective  Amendment No. 1 to the  Registration  Statement on Form S-8 (the
"Amendment") to be filed pursuant to the Securities Act of 1933, as amended,  on
or about May 15, 1997 with the Securities and Exchange Commission by the Company
with respect to the offering, sale and delivery of shares of Common Stock, $2.50
par value ("Common Stock") of the Company and Preferred Stock Purchase Rights of
the Company to be issued under the Plans. We note that the Plans are not subject
to the requirements of the Employee  Retirement  Income Security Act of 1974, as
amended.

         In this  connection,  we  examined  such  certificates,  documents  and
records  as we  deemed  relevant  and  necessary  as a basis  for  our  opinions
hereinafter set forth,  including,  among other things,  the Plans and copies of
relevant  resolutions  passed by the board of directors and  stockholders of the
Company.

         Based  upon the  foregoing,  we are of the  opinion  that the shares of
Common Stock to be issued upon the exercise of stock options granted pursuant to
the Plans have been validly  authorized for issuance and, (a) upon compliance by
the Company with the pertinent  provisions of any  applicable  state  securities
laws and (b)  when  the  shares  of  Common  Stock  are  issued  and paid for in
accordance  with the  terms of the  appropriate  Plan and the  underlying  stock
option, the shares of Common Stock so issued will be validly issued,  fully paid
and  nonassessable  and any  related  Preferred  Stock  Purchase  Rights will be
validly issued.







Halliburton Company
May 15, 1997
Page 2


         This opinion is rendered as of the effective date of the Amendment.  We
hereby consent to the filing of this opinion as an exhibit to the Amendment, but
we do not admit that we are  within the  category  of persons  whose  consent is
required  under  Section  7 of the  Act  or the  rules  and  regulations  of the
Securities and Exchange Commission thereunder.

                                            Very truly yours,

                                            /s/ Vinson & Elkins L.L.P.
                                            ---------------------------
                                            VINSON & ELKINS L.L.P.





                                   2





                                                                    EXHIBIT 23.1

               CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS

     As independent public  accountants,  we hereby consent to the incorporation
by reference in registration statement No. 333-13475 of our report dated January
22, 1997 included in Halliburton Company's Form 10-K for the year ended December
31, 1996 and to  all  references  to  our Firm  included  in  this  registration
statement.



                                            /s/  Arthur Andersen LLP
                                             -------------------------
                                                 ARTHUR ANDERSEN LLP

Dallas, Texas
May 15, 1997







                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 11 day of April, 1997.

                                                      /s/ Anne L. Armstrong
                                                      ----------------------
                                                        Anne L. Armstrong






                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 7th day of April, 1997.

                                                      /s/ Lord Clitheroe
                                                      --------------------
                                                        Lord Clitheroe




                                  



                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 8th day of April, 1997.

                                                      /s/ Robert L. Crandall
                                                      -----------------------
                                                       Robert L. Crandall




                                  



                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 8th day of April, 1997.

                                                      /s/ W. R.  Howell
                                                      -------------------
                                                         W. R. Howell






                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 4th day of April, 1997.

                                                      /s/ Dale P. Jones
                                                      ---------------------
                                                        Dale P. Jones





                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 11th day of April, 1997.

                                                      /s/ Delano E. Lewis
                                                      ---------------------
                                                         Delano E. Lewis






                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 8th day of April, 1997.

                                                      /s/ C. J. Silas
                                                      -------------------
                                                         C. J. Silas





                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 7 day of April, 1997.

                                                      /s/ Roger T. Staubach
                                                      -----------------------
                                                         Roger T. Staubach





                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 8th day of April, 1997.

                                                      /s/ Richard J. Stegemeier
                                                      -------------------------
                                                        Richard J. Stegemeier





                                                                      EXHIBIT 24

                           POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar and Susan S.  Keith,  or any of them acting  alone,  my true and lawful
attorneys or attorney, to do any and all acts and things and execute any and all
instruments  which said attorneys or attorney may deem necessary or advisable to
enable  Halliburton  Company  to  comply  with the  Securities  Act of 1933,  as
amended,  and any rules,  regulations  and  requirements  of the  Securities and
Exchange  Commission in respect  thereof,  in connection  with the  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive Plan, as amended,  including  specifically,  but without
limitation  thereof,  power  and  authority  to  sign my  name  as  Director  of
Halliburton  Company  to  any  registration   statements  and  applications  and
statements to be filed with the Securities and Exchange Commission in respect of
said  shares  of Common  Stock and all  amendments  thereto,  including  without
limitation   post-effective  amendments  thereto,  and  to  any  instruments  or
documents filed as a part of or in connection therewith; and I hereby ratify and
confirm  all that said  attorneys  or  attorney  shall do or cause to be done by
virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this 9th day of April, 1997.

                                                      /s/ E. L. Williamson
                                                      ---------------------
                                                        E. L. Williamson