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)

                                 AUGUST 20, 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 August 20, 1996,  registrant  issued a press  release  entitled Dave
Gribbin named Vice President for Government  Relations  pertaining,  among other
things,  to an announcement that registrant named Dave Gribbin as Vice President
for  Government  Relations  effective  September  1, 1996.  Mr.  Gribbin will be
responsible for managing all of registrant's government relations activities.

         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 August 20, 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 20, 1996                    By: _______________________
                                                  Robert M. Kennedy
                                                  Vice President-Legal

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                                  EXHIBIT INDEX

Exhibit                                                       Sequentially
Number                        Description                     Numbered Page

    20                        Press Release of
                              August 20, 1996                      5 of 6
                              Incorporated by Reference

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FOR IMMEDIATE RELEASE                   Contact- Guy T. Marcus
August 20, 1996                         Vice President-Inv. Rel.
                                        (214) 978-2691


     DALLAS,  Texas -- Halliburton Company announced today that Dave Gribbin has
been named Vice President for Government Relations effective September 1, 1996.

     Mr.  Gribbin,  56,  brings  a  broad  range  of  government  experience  to
Halliburton.  From 1979 to 1986, he was Administrative  Assistant to Congressman
Dick Cheney.  Between 1986 and 1989,  he held  various  assignments  in the U.S.
House of Representatives, including Executive Director for the Republican Policy
Committee and Chief of Staff for the  Republican  Whip.  From 1989 to 1992,  Mr.
Gribbin served as Assistant  Secretary of Defense for Legislative Affairs in the
U.S.  Department of Defense.  For the next three years, Mr. Gribbin was Chief of
Staff for Senator Dan Coats (R) of Indiana.

     After a brief  sabbatical,  teaching a seminar on the U.S.  Congress at the
Naval  Postgraduate  School  in  Monterey,  California,  Mr.  Gribbin  was named
Executive Director for the Republican Platform Committee.  In this capacity,  he
supervised  production  of the draft  document  and  managed  the process at the
recently held Republican National Convention in San Diego.

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     In his new position, Mr. Gribbin -- who replaces retiring George Gleason --
is  responsible  for  managing  all  of   Halliburton's   government   relations

     Mr. Gribbin holds a B.A. degree from the University of Wyoming and a Master
of Divinity  from  Wesley  Theological  Seminary.  Mr.  Gribbin,  who resides in
Bethesda, Maryland, is married and has two grown children.

     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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