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)

                                  JULY 9, 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  July  9,  1998   registrant   issued  a  press   release   entitled
 Halliburton-Dresser Merger Clears in Canada pertaining,  among other things, to
 an announcement that registrant and Dresser  Industries,  Inc. have received an
 Advance  Ruling  Certificate  from the Canadian  Bureau of  Competition  Policy
 clearing the merger of the two companies.

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 July 9, 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:    July 14, 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 5
                           July 9, 1998
                           Incorporated by Reference






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FOR IMMEDIATE RELEASE            Contact: Guy T. Marcus
July 9, 1998                              Vice President, Investor Relations
                                          (214) 978-2691


                   HALLIBURTON-DRESSER MERGER CLEARS IN CANADA

         Dallas, TEXAS -- Halliburton Company (NYSE:HAL) and Dresser Industries,
Inc.  (NYSE:DI)  have received an Advance Ruling  Certificate  from the Canadian
Bureau of Competition Policy clearing the merger of the two companies.
         Halliburton  and  Dresser  previously  announced  a  definitive  merger
agreement  which calls for  Dresser's  shareholders  to receive one newly issued
share  of  Halliburton  for  each  share  of  Dresser.  Both  of the  companies'
shareholders  have voted  their  approval  for the  merger  plan.  The  European
Commission, under the European Community Merger Control Regulations, cleared the
merger of the two companies earlier this week. At the present time the companies
have other regulatory filings in process with the U.S. Department of Justice and
regulatory agencies in certain other countries. The companies expect to complete
the merger during the fall of 1998.
         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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