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 6, 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  6,  1998   registrant   issued  a  press   release   entitled
 Halliburton-Dresser  Merger Clears European Commission pertaining,  among other
 things,  to an announcement that registrant and Dresser  Industries,  Inc. have
 received the European Commission's decision that the Commission does not oppose
 the merger of the two companies.  Both  registrant and Dresser have  regulatory
 filings in process with the U.S.  Department of Justice and regulatory agencies
 in certain  other  countries.  Registrant  and Dresser  expect to complete  the
 merger during the fall of 1998.

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 6, 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 6, 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 6, 1998
                           Incorporated by Reference







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FOR IMMEDIATE RELEASE               Contact: Guy T. Marcus
July 6, 1998                                 Vice President, Investor Relations
                                             (214) 978-2691


              HALLIBURTON-DRESSER MERGER CLEARS EUROPEAN COMMISSION


         DALLAS, Texas -- Halliburton Company (NYSE:HAL) and Dresser Industries,
Inc.  (NYSE:DI)  today  received the  European  Commission's  decision  that the
Commission does not oppose the merger of the two companies.

         The Commission indicated, considering that Halliburton has committed to
divest itself of its 36 percent ownership  interest in M-I Drilling Fluids,  the
drilling  fluids  business  does not presently  constitute an "affected  market"
under the European Community Merger Control Regulation.

         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. 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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