

                       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)

                               SEPTEMBER 30, 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  September  30,  1997  registrant  issued a press  release  entitled
Halliburton Completes Acquisition of NUMAR pertaining, among other things, to an
announcement that registrant has completed the acquisition of NUMAR Corporation.
Registrant  will  exchange  0.9664 of a share of its common stock (after  giving
effect to a July 21, 1997  2-for-1  common stock split) for each share of NUMAR.
Registrant will issue  approximately  8.2 million shares of its common stock for
all of NUMAR's common stock and  approximately  900,000  shares of  registrant's
common  stock  will be  reserved  for future  issuance  upon  exercise  of NUMAR
options.

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 September 30, 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:    September 30, 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
                           September 30, 1997
                            Incorporated by Reference


































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