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)

                                  JUNE 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 June  20,  1996,  the  registrant  issued a press  release  entitled
COMMISA Joint Venture  Awarded  Pipeline  Contract In Mexico  pertaining,  among
other things,  to an announcement  that COMMISA,  a joint venture  consisting of
registrant's  Brown & Root subsidiary and Grupo "R", a Mexican  contractor,  has
been  awarded a  contract  by Pemex for  laying  the first  half of an 80 km oil
pipeline and to perform a platform  tie-in to the Pemex pump platform PR1 in the
Bay of Campeche in Mexico. The contract is valued at about $60 million.

         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 June 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:    June 21, 1996                      By: _______________________
                                                  Robert M. Kennedy
                                                  Vice President - Legal




























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                                  EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                        Description                     Numbered Page

  20                          Press Release of
                              June 20, 1996                      5 of 5
                              Incorporated by Reference
































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

            COMMISA JOINT VENTURE AWARDED PIPELINE CONTRACT IN MEXICO

     DALLAS,  Texas --  Halliburton  Company  (NYSE-HAL)  today  announced  that
COMMISA, a joint venture consisting of Halliburton's Brown & Root subsidiary and
Grupo "R", a Mexican contractor, has been awarded a contract by Pemex for laying
the first half of an 80 km oil pipeline and to perform a platform  tie-in to the
Pemex pump platform PR1 in the Bay of Campeche in Mexico. The contract is valued
at about $60 million.

     COMMISA  will handle the tie-in and has  contracted  with  European  Marine
Contractors (EMC) for laying the 36-inch pipeline. EMC, jointly owned by Brown &
Root and Saipem, will use its  semi-submersible  lay vessel "Semac 1" to perform
its first work in the Americas.  Previously,  "Semac 1" participated in pipeline
work in the North Sea and in the Asia-Pacific  areas.  Pipelay work is scheduled
to begin in mid-summer, with project completion scheduled for fall.

     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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