

                       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 20, 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  October  20,  1997  registrant  issued  a  press  release  entitled
Halliburton Units Agree to Sell  Environmental  Services Business to Tetra Tech,
Inc. pertaining, among other things, to an announcement that registrant 's Brown
& Root,  Inc.  and  Halliburton  NUS  Corporation  subsidiaries  have  signed  a
definitive agreement to sell the assets of their environmental services business
to Tetra Tech. The agreement calls for Tetra Tech to pay cash  consideration  of
about  $32  million.  Completion  of the sale is  subject  to  Hart-Scott-Rodino
clearance.  Registrant and Tetra Tech seek to close the  transaction by year-end
1997.

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 20, 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




Date:    October 21, 1997                   By: /s/ Susan S. Keith
                                                -----------------------------
                                                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
                           October 20, 1997
                           Incorporated by Reference

































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