
                       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)

                                 MARCH 17, 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  March  17,  1998  registrant   issued  a  press  release   entitled
 Halliburton  Postpones Annual Meeting of Shareholders  pertaining,  among other
 things, to an announcement that registrant is temporarily postponing its annual
 meeting of  shareholders  which was  originally  scheduled for May 19, 1998, in
 order to take  action on items that are  required  to  implement  the  recently
 announced  plans for  registrant  and Dresser  Industries,  Inc. to merge.  The
 meeting of shareholders will be rescheduled for a later date.

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 March 17, 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:    March 23, 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
                           March 17, 1998
                           Incorporated by Reference





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