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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FOR IMMEDIATE RELEASE               Contact-Guy T. Marcus
May 21, 1997                        Vice President-Inv. Rel.
                                    (214) 978-2691

          HALLIBURTON COMPANY ANNOUNCES PROMOTIONS

     DALLAS, Texas --  Halliburton Company (NYSE-HAL) today
announces the following new Halliburton Company officer
appointments, which become 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.

     Dave Lesar, 43, will become president and chief operating
officer of Halliburton.  Previously, Mr. Lesar was both executive
vice president and chief financial officer of Halliburton Company
and president and chief executive officer of Brown & Root, Inc.
He served as executive vice president-finance and administration
of Halliburton Energy Services upon joining the company in 1993.
Before coming to Halliburton, Mr. Lesar spent 16 years with
Arthur Andersen & Co.  Mr. Lesar is a graduate of the University
of Wisconsin where he earned BS and MBA degrees.

     Ken LeSuer, 61, will become vice chairman of Halliburton
Company.  Mr. LeSuer most recently has served as chief executive
officer of the Halliburton Energy Group.  He has more than 38
years of experience with Halliburton, having served as president

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for Halliburton Services, Halliburton Reservoir Services and Vann
Systems.  Mr. LeSuer holds a BS degree in petroleum engineering
from Texas A&M University.

     Gary Morris, 44, will become executive vice president and
chief financial officer of Halliburton Company.  Prior to this
appointment, Mr. Morris served as senior vice president for the
company.  During his 20-year career with Halliburton, Mr. Morris
has served as vice president of finance for Halliburton Energy
Services, controller of Halliburton Company, and vice president
of finance for Brown & Root.  Mr. Morris earned a BBA degree from
St. Edwards University.

     Other Halliburton Company officers will remain in place and
retain their current responsibilities.

     Halliburton Company delivers its products and services to
customers through six business units -- Halliburton Energy
Services, Brown & Root Energy Services, Landmark Graphics
Corporation, Halliburton Energy Development, Brown & Root
Engineering & Construction, and Brown & Root Government Services.

While each business unit has its management team, marketplace
identity, and operational and financial goals, the units are
united by Halliburton's overall strategy.  The six business units
will report to Mr. Lesar.  Halliburton Company will continue to
report its financial results to shareholders through two business
segments -- Energy Services and Engineering & Construction
Services.

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     Dick Cheney, chairman of the board and chief executive
officer of Halliburton Company, said, "Dave Lesar, Ken LeSuer,
and Gary Morris have made significant contributions to
Halliburton Company in strengthening our financial and
operational performance in recent years.  They bring a wealth of
experience and expertise to their new leadership positions, which
will contribute to the company s future success."

     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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