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 23, 1996

                               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. 73-0271280

                               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.

         (a) On July  23,  1996,  registrant  issued  a press  release  entitled
Halliburton  1996  Second  Quarter  Earnings  Increase  pertaining,  among other
things, to an announcement that registrant  reported net income of $67.1 million
and earnings per share of $.58 per share for the 1996 second quarter,  increases
of 19  percent  and 18  percent,  respectively,  compared  to the 1995  quarter.
Excluding 1995 second quarter  earnings from  registrant's  insurance  business,
which was spun-off to Halliburton  shareholders at the beginning of 1996, second
quarter 1996 net income was 22 percent higher than the prior year quarter.

         (b) On July 25, 1996 registrant  also issued a press released  entitled
Halliburton-Cairn  Energy  Contract-To-Produce  announcing  that  registrant and
Cairn Energy PLC have entered  into a  contract-to-produce  agreement to develop
the Sangu natural gas field, located in Bangladesh's offshore Block 16.

         The foregoing summary is subject to the full text of the press releases
with respect  thereto,  a copy of which are 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 releases dated July 23,1996 and July 25,1996.










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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 29, 1996                            By: _______________________
                                                         Robert M. Kennedy
                                                        Vice President-Legal




























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                                  EXHIBIT INDEX



Exhibit                                                           Sequentially
Number                     Description                            Numbered Page

  20                       Press Release of
                           July 23, 1996                             5 of 9
                           Incorporated by Reference

                           Press Release of
                           July 25, 1996                            10 of 11
                           Incorporated by Reference




























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                       The Exhibit Index appears on Page 4