SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT

                     PURSUANT TO SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                DATE OF REPORT (date of earliest event reported)

                               SEPTEMBER 29, 1998

                               Halliburton Company
             (Exact name of registrant as specified in its charter)

State or other                      Commission              IRS Employer
jurisdiction                        File Number             Identification
of incorporation                                            Number

Delaware                              1-3492                No. 75-2677995

                               3600 Lincoln Plaza
                             500 North Akard Street
                            Dallas, Texas 75201-3391
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 214/978-2600





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                      INFORMATION TO BE INCLUDED IN REPORT

Item 2.  Acquisition or Disposition of Assets

         On September 29, 1998,  Halliburton Company  ("Halliburton")  completed
the  acquisition  of  Dresser  Industries,  Inc.  ("Dresser")  pursuant  to  the
Agreement  and  Plan of  Merger  dated  as of  February  25,  1998 by and  among
Halliburton,  Halliburton  N.C.,  Inc.,  a wholly  owned  direct  subsidiary  of
Halliburton  ("Merger Sub"), and Dresser (the "Merger  Agreement").  Pursuant to
the  Merger  Agreement,  Merger  Sub was  merged  (the  "Merger")  with and into
Dresser,  with Dresser surviving as a subsidiary of Halliburton.  As a result of
the merger,  each outstanding share of Dresser common stock, par value $0.25 per
share ("Dresser Common Stock"), has been converted into the right to receive 1.0
share of  Halliburton  common  stock,  par value  $2.50 per share  ("Halliburton
Common  Stock").  In the  aggregate,  Halliburton is issuing  approximately  176
million  shares of  Halliburton  Common Stock in exchange for the Dresser Common
Stock.  The  exchange  ratio  of  1.0  was  determined  by  negotiations   among
Halliburton  and Dresser.  In addition,  as part of the Merger,  Halliburton  is
reserving  approximately  7.3 million  shares of  Halliburton  Common  Stock for
issuance  pursuant to  Dresser's  employee  and  director  plans.  There were no
material relationships between Halliburton and Dresser prior to the consummation
of the merger.

         Dresser,  which was  previously  publicly  traded,  is a leading global
supplier to the total hydrocarbon  energy stream.  Dresser's product and service
offerings encompass sophisticated drilling and well construction systems as well
as   technologies,   engineered   equipment  and  project   management  for  the
transportation  and  conversion  of oil and natural gas.  Halliburton  currently
intends to continue Dresser's business activities.

Item 7.  Financial Statements and Exhibits

         List below the financial  statements,  pro forma financial  information
and exhibits, if any, filed as part of this report.

         (a)     Financial Statements of Business Acquired.

                The financial  statements of Dresser  Industries,  Inc. required
                for this item will be filed by the  Company by an  amendment  to
                this  report as soon as  practical,  but not later  than 60 days
                after this report must be filed.

         (b)     Pro Forma Financial Information.

                As of the date of this report, the Company has not finalized the
                pro forma financial  information required pursuant to Article 11
                of Regulation S-X with respect to the Dresser  merger.  Such pro
                forma financial  information  will be filed by the Company by an
                amendment  to this  report as soon as  practical,  but not later
                than 60 days after this report must be filed.

         (c)     Exhibits.

                2(a)  Agreement  and Plan  of Merger, dated  as of  February 25,
                      1998, among  Halliburton  Company,  Halliburton N.C., Inc.
                      and Dresser Industries, Inc. (incorporated by reference to
                      Exhibit C to Halliburton Company's Schedule 13D filed on
                      March 9, 1998).

                2(b)  Stock  Option  Agreement  dated as of February  25,  1998,
                      among  Halliburton  Company and Dresser  Industries,  Inc.
                      (incorporated  by  reference  to Exhibit B to  Halliburton
                      Company's Schedule 13D filed on March 9, 1998).




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                                   SIGNATURES


         Pursuant to the  requirements  of the Securities  Exchange Act of 1934,
the  registrant  has duly  caused  this report to be signed on its behalf by the
undersigned hereunto duly authorized.


                                         HALLIBURTON COMPANY




Date:    October 13, 1998                By:  /s/ R. Charles Muchmore, Jr.
                                            --------------------------------
                                              R. Charles Muchmore, Jr.
                                              Vice President and Controller






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