

                       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 29, 1998

                               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  29,  1998  registrant  issued a press  release  entitled
 Halliburton and Dresser Complete Merger  pertaining,  among other things, to an
 announcement that registrant and Dresser Industries,  Inc. have completed their
 merger. Registrant is the continuing entity and its stock will be traded on the
 New York Stock Exchange under the ticker symbol "HAL".  Dresser's  shareholders
 will receive one share of newly issued  Halliburton common stock for each share
 of Dresser  common  stock.  The merger  will be  accounted  for as a pooling of
 interests.

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 29, 1998.





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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 2, 1998                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 7
                           September 29, 1998
                           Incorporated by Reference






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