

                       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 16, 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 16, 1998 registrant issued a press release entitled Halliburton
 1998 Third Quarter Dividend pertaining,  among other things, to an announcement
 that  registrant's  board of  directors  declared  a 1998  third  quarter  cash
 dividend of 12.5 cents a share on registrant's common stock,  payable September
 24, 1998 to  shareholders  of record at the close of business on  September  3,
 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 16, 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 20, 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 16, 1998
                           Incorporated by Reference







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