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)

                                DECEMBER 9, 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  December  9,  1996,  registrant  issued  a press  release  entitled
Halliburton  Company  Reorganization  pertaining,  among  other  things,  to  an
announcement  that  prior to 1996 year end  registrant  intends  to  complete  a
reorganization of its legal structure.  The purpose of the  reorganization is to
improve  internal  operating  flexibility  and reduce certain state taxes. A new
parent holding  company will be created and will own the existing  publicly held
company.  The name of the new parent company will be Halliburton Company and the
former public company will be named Halliburton  Energy Services,  Inc. Existing
Halliburton  Company common stock  certificates will remain in force and effect;
no exchange of certificates will take place. The reorganization will be tax free
to registrant's shareholders.

         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 December 9, 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:  December 11, 1996                    By:  /s/ Robert M. Kennedy
                                                -------------------------
                                                     Robert M. Kennedy
                                                     Vice President-Legal




























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                                  EXHIBIT INDEX



Exhibit                                                           Sequentially
Number                        Description                         Numbered Page

  20                          Press Release of
                              December 9, 1996                        5 of 6
                              Incorporated by Reference
































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FOR IMMEDIATE RELEASE                    Contact:  Guy T. Marcus
December 9, 1996                                   Vice President-Inv. Rel.
                                                   (214) 978-2691

                       HALLIBURTON COMPANY REORGANIZATION

     DALLAS, Texas -- Halliburton Company (NYSE-HAL) announced today that, prior
to 1996 year end, it intends to complete a reorganization of its legal structure
under amended Delaware law.

A new  parent  holding  company  will be  created  which  will own the  existing
publicly held company.  The name of the new parent  company will be  Halliburton
Company.  The name of the former public  company will be changed to  Halliburton
Energy Services, Inc.

     The  purpose  of  this  reorganization  is to  improve  internal  operating
flexibility and reduce the overall impact of certain state taxes.  The company's
domestic  energy  services  business  units  will  operate  through   subsidiary
corporations  rather than as divisions  of the parent  company.  Otherwise,  the
business  operations of the company will not change as a result of  implementing
the new legal structure.

     The  reorganization  will be  structured  in a manner that will not require
action by  Halliburton's  shareholders,  whose rights,  privileges and interests
will  remain  the same with  respect  to the new  parent  corporation.  Existing
Halliburton  Company common stock  certificates will remain in force and effect;

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no exchange of certificates will take place. Halliburton Company has received an
opinion of counsel that the reorganization will be tax free to its shareholders.
The company's name, charter, by-laws and board of directors will not change as a
result of the reorganization.  The new parent company will continue to be traded
with the ticker symbol "HAL" on the New York Stock Exchange and its CUSIP number
will not change.

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

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