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 31, 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  July  31,  1997,   registrant   issued  a  press  release
entitled
Halliburton  $75 Million Notes Offering  pertaining,  among other things,  to
an announcement  that an offering of $75 million  principal  amount
registrant 6.3 percent notes due August 5, 2002 under registrant's medium-term
note program was issued through registrant's agents. The notes were priced at
par.

         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 July 31, 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: August 1, 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
                           July 31, 1997                              5 of 5
                           Incorporated by Reference
                           
                           
                           
                           
                           
                           
                           

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FOR IMMEDIATE RELEASE                         Contact-Guy T. Marcus
July 31, 1997                                 Vice President-Inv.
Rel.
                                              (214) 978-2691
                     HALLIBURTON $75 MILLION NOTES OFFERING
     DALLAS,  Texas -- An offering of $75 million  principal amount
Halliburton Company  (NYSE:HAL)  6.3  percent  notes due August 5, 2002 under
the  company's medium-term  note program was issued today through the
company's  agents Merrill Lynch & Co., Lehman Brothers,  Morgan Stanley & Co.
Incorporated and NationsBanc Capital Markets, Inc. The notes were priced at
par.
     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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