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)

                                  JULY 31, 1996

                               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. 73-0271280

                               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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Item 5.  Other Events

         The registrant  may, at its option,  report under this item any events,
with respect to which information is not otherwise called for by this form, that
the registrant deems of importance to security holders.

         On July 31, 1996,  registrant  issued a press  release  entitled  Lewis
Elected to Halliburton Board pertaining,  among other things, to an announcement
of the  election  of  Delano  E.  Lewis  to  registrant's  board  of  directors,
increasing registrant's board of directors to eleven members.

         The foregoing  summary is subject to the full text of the press release
with respect  thereto,  a copy of which is attached  hereto as Exhibit 20, which
exhibit is incorporated herein by reference.

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.

         (c)      Exhibits.

                  Exhibit 20 - Press release dated July 31, 1996.

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         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:    August 2, 1996                              By: _______________________
                                                           Robert M. Kennedy
                                                          Vice President-Legal

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                                  EXHIBIT INDEX

Exhibit                                                         Sequentially
Number                     Description                          Numbered Page

  20                       Press Release of
                           July 31, 1996                         5 of 6
                            Incorporated by Reference

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FOR IMMEDIATE RELEASE      Contact - Guy T. Marcus
July 31, 1996                        Vice President-Inv. Rel.
                                     (214) 978-2691


     DALLAS, Texas -- Halliburton Company announced today the election of Delano
E. Lewis to its board of  directors.  The  addition of Mr. Lewis  increases  the
company's board of directors to eleven members.

     Mr. Lewis, 57, is president and chief executive  officer of National Public
Radio  (NPR).  He  is  responsible  for  producing  and  distributing   original
programming  and  providing  service  and  support to NPR's more than 500 member

     Mr.  Lewis  began  his  career  in 1963 as a staff  attorney  for the  U.S.
Department of Justice. He also worked for the U.S. Equal Employment  Opportunity
Commission  and U.S.  Peace Corps.  Later he became  legislative  assistant  for
Senator  Edward  Brooke  of  Massachusetts  and  administrative   assistant  for
Congressman  Walter  Fauntroy  of  the  District  of  Columbia.  He  joined  the
Chesapeake & Potomac  Telephone  Company in 1973 as manager of public  relations
and was eventually  named  president of the company in 1988 and chief  executive
officer in 1990, a position he held until joining National Public Radio in 1994.

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     Mr.  Lewis  received a Bachelor  of Arts  degree in  political  science and
history  from  the  University  of  Kansas  and was  awarded  the  Doctorate  of
Jurisprudence  from  Washburn  University  School of Law in Topeka,  Kansas.  He
serves on the boards of directors of  Colgate-Palmolive,  Apple Computer,  Guest
Services, Inc., Black Entertainment Television and the Poynter Institute.

     Mr.  Lewis  has been  active in a number of  organizations,  including  the
Greater  Washington Board of Trade, D.C. Youth Employment  Advisory  Commission,
D.C. Vocation  Education and Career Opportunity  Commission,  NPR Foundation and
Washington  Performing Arts Society.  He has been honored with numerous  awards,
including Washingtonian of the Year (1978),  Washingtonian Magazine; Man of Year
(1992),  Greater  Washington  Board of Trustees;  and the Social  Responsibility
Award (1990), George Washington University School of Business.

     Halliburton  Company  is one  of the  world's  largest  diversified  energy
services, engineering, maintenance, and construction companies. Founded in 1919,
Halliburton  provides a broad range of energy services and products,  industrial
and marine engineering and construction services.

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