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)

                                 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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         INFORMATION TO BE INCLUDED IN REPORT

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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                                   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:    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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