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 8, 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.

         In connection with the offering, sale and delivery by Registrant of $50
million principal amount Registrant's 6.27% Notes due July 8, 1999 (the "Notes")
on July 8, 1997,  Registrant is filing  herewith as an exhibit the form of Note.
The  offering,  sale and  delivery  of the Notes,  which  constitutes  a part of
Registrant's  Medium  Term  Notes  Due Nine  Months  or More From Date of Issue,
Series A, have been registered  pursuant to the  registration  provisions of the
Securities  Act of 1933,  as  amended,  by virtue of  Registrant's  Registration
Statement on Form S-3 (File No.  33-65772)  which, as amended by  Post-effective
Amendment No. 2, became effective on December 19, 1996.

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 4.1 - Form of Note.















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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 18, 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

 4.1                         Form of Note                            5 of 13



































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