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)

                                 OCTOBER 4, 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  October  4,  1996,  registrant  issued  a  press  release  entitled
Halliburton Completes Acquisition of Landmark pertaining, among other things, to
an announcement  that registrant  completed its acquisition of Landmark Graphics
Corporation. Registrant will issue 0.574 of a share of its common stock for each
outstanding share of Landmark's common stock.  Based upon shares  outstanding on
the August 29, 1996 record date registrant will issue approximately 10.1 million
shares  of its  common  stock to  Landmark  shareholders.  Registrant  will also
reserve for issuance an aggregate of  approximately  1.8 million shares that may
be issued upon the exercise of Landmark stock options.

         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 October 4, 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:  October 8, 1996                        By: _______________________
                                                     Robert M. Kennedy
                                                     Vice President-Legal

























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                                  EXHIBIT INDEX



Exhibit                                                        Sequentially
Number                     Description                         Numbered Page

    20                     Press Release of
                           October 4, 1996                          5 of 6
                           Incorporated by Reference





























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FOR IMMEDIATE RELEASE                    Contact - Guy T. Marcus
October 4, 1996                                    Vice President-Inv. Rel.
                                                   (214) 978-2691

                  HALLIBURTON COMPLETES ACQUISITION OF LANDMARK

     DALLAS,  Texas  --  Halliburton  Company  (NYSE-HAL)  today  completed  the
acquisition  of  Landmark  Graphics  Corporation   (NASDAQ-LMRK)  following  the
approval  and  adoption  of  an  agreement   and  plan  of  merger  by  Landmark
shareholders.

     Halliburton  will  issue  0.574 of a share  of its  common  stock  for each
outstanding share of Landmark's common stock.  Based upon shares  outstanding on
the August 29, 1996 record date for the Landmark  special meeting to approve the
acquisition,  Halliburton  will issue  approximately  10.1 million shares of its
common  stock to  Landmark  shareholders.  Halliburton  also  will  reserve  for
issuance an aggregate  of  approximately  1.8 million  shares that may be issued
upon the exercise of Landmark stock options.

     Dick  Cheney,  Halliburton  Company's  chairman  of  the  board  and  chief
executive officer, said,  "Landmark's  capabilities and expertise as the leading
supplier  of  integrated  exploration  and  production  information  systems and
professional  services to the petroleum  industry will complement  Halliburton's

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leadership  position in providing a broad range of key services designed to meet
the current and future needs of the energy industry.  Landmark will operate as a
separate  wholly-owned  subsidiary  and  become  part  of  Halliburton's  Energy
Services business segment. Bob Peebler will continue as Landmark's president and
chief executive officer as we go forward."

     Bob Peebler  commented,  "Our customers are  enthusiastic  because Landmark
will continue to provide an integrated suite of innovative software, systems and
professional   services  for  finding,   producing  and  managing  oil  and  gas
reservoirs. In addition, they'll be able to dramatically shorten cycle times and
increase productivity through the integration of data across the entire oilfield
lifecycle--from discovery, to delineation, to production."

     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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