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)

                          MAY 21, 1997

                       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 May 21, 1997, registrant issued a press release entitled
Halliburton Company Announces Promotions pertaining, among  other
things,  to  an announcement of the following officer  promotions
effective June 1, 1997: Dave Lesar, president and chief operating
officer;  Ken  LeSuer, vice chairman; and Gary Morris,  executive
vice  president  and chief financial officer.   Other  registrant
officers   will   remain  in  place  and  retain  their   current
responsibilities.

      The  foregoing summary is subject to the full text  of  the
press  release with respect thereto, a copy of which is  attached
hereto  as  Exhibit 20, which exhibit is incorporated  herein  by
reference.

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 May 21, 1997.












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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: May 21, 1997                 By: /s/ Susan S. Keith
                                      ____________________________
                                         Susan S. Keith
                                         Vice President, Secretary and
                                         Corporate Counsel

























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                          EXHIBIT INDEX



Exhibit                                              Sequentially
Number                   Description                 Numbered Page

    20                   Press Release of
                         May 21, 1997                    5 of 7
                         Incorporated by Reference































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