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)

                                  JUNE 10, 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  June  10,  1997,   registrant   issued  a  press  release  entitled
Halliburton  Declares  Two-For-One  Common Stock Split  pertaining,  among other
things,  to an  announcement  that  registrant's  board of directors  approved a
two-for-one  common  stock split  effected in the form of a stock  dividend,  to
shareholders  of record at the close of business on June 26, 1997.  Certificates
for the new  shares  will be mailed on or about  July 21,  1997.  Par value will
remain at $2.50 per share.

         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 June 10, 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:    June 11, 1997                          By: /s/ Lester L. Coleman
                                                   ----------------------------
                                                    Lester L. Coleman
                                                    Executive Vice President and
                                                    General Counsel

























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                                  EXHIBIT INDEX



Exhibit                                                           Sequentially
Number                         Description                        Numbered Page

    20                         Press Release of
                               June 10, 1997                           5 of 5
                               Incorporated by Reference































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FOR IMMEDIATE RELEASE                       Contact:  Guy T. Marcus
June 10, 1997                                         Vice President-Inv. Rel.
                                                      (214) 978-2691

               HALLIBURTON DECLARES TWO-FOR-ONE COMMON STOCK SPLIT

         DALLAS,  Texas -- Halliburton  Company (NYSE:HAL)  announced today that
its board of directors has approved a two-for-one common stock split effected in
the form of a stock dividend, to shareholders of record at the close of business
on June 26,  1997.  Certificates  for the new shares  will be mailed on or about
July 21, 1997. Par value will remain at $2.50 per share.
         Previously,  Halliburton  announced a 1997 second  quarter common stock
cash dividend of 25 cents per share,  payable June 25, 1997 to  shareholders  of
record at the close of  business on June 4, 1997.  The common  stock split is an
event  subsequent  to the cash  dividend  payment.  Had the common  stock  split
occurred prior to this cash dividend, the dividend would have been equivalent to
12.5 cents per share.
         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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