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 31, 1997

                               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. 75-2677995

                               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 31, 1997 registrant  issued a press release  entitled Tetra
Tech, Inc. Completes Purchase of Halliburton's  Environmental  Services Business
pertaining,  among other things, to an announcement  that  registrant's  Brown &
Root, Inc. and  Halliburton NUS Corporation  completed the sale of the assets of
their  environmental  services business to Tetra Tech, Inc. The cash transaction
is valued at about $32  million,  but is subject to certain  December  31,  1997
closing balance sheet adjustments.

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 31, 1997.


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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




                                                 /s/ Susan S. Keith
Date:    January 2, 1998                    By: --------------------------------
                                                Susan S. Keith
                                                Vice President and Secretary




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                                  EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                     Description                        Numbered Page

20                         Press Release of                   5 of 6
                           December 31, 1997
                           Incorporated by Reference




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FOR IMMEDIATE RELEASE
December 31, 1997

Contact:     Guy T. Marcus          Dirk Vande Beek           Li-San Hwang
             V. P.-Inv. Rel.        News Media                President & CEO
             Halliburton            Halliburton               Tetra Tech
             (214) 978-2691         (713) 676-8097            (626) 351-4664


              TETRA TECH, INC. COMPLETES PURCHASE OF HALLIBURTON'S
                        ENVIRONMENTAL SERVICES BUSINESS


         DALLAS,  Texas - Halliburton  Company  (NYSE:HAL) and Tetra Tech,  Inc.
(NASDAQ:WATR)  jointly announced today that Halliburton's Brown & Root, Inc. and
Halliburton  NUS  Corporation   completed  the  sale  of  the  assets  of  their
environmental services business to Tetra Tech. The cash transaction is valued at
about $32 million,  but is subject to certain  December 31, 1997 closing balance
sheet adjustments.
         The environmental  business acquired by Tetra Tech provides consulting,
engineering   and  design   services  for  the   environmental   remediation  of
contaminated  air,  water  and soil  conditions.  Customers  include  industrial
clients as well as federal,  state and local governments,  focused in the United
States.
         Tetra Tech provides comprehensive  environmental and telecommunications
support  services  including research  and development,  engineering and design,

                                     -more-

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Halliburton Company                    2

construction  management,  and  operation and  maintenance.  Tetra Tech provides
these services to a broad base of customers world-wide.
     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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