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)

                                 APRIL 23, 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  April  23,  1997,   registrant  issued  a  press  release  entitled
Halliburton  First  Quarter  Net Income Up 82 Percent  pertaining,  among  other
things, to an announcement of its 1997 first quarter net income of $83.0 million
or $.65 per share, an increase of 82 percent  compared to 1996 first quarter net
income of $45.5  million or $.36 per  share.  Registrant's  1997  first  quarter
consolidated  revenues  were  $1,897.5  million,  an increase of 11 percent from
first quarter 1996.

         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 April 23, 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:    April 23, 1997                     By: /s/__________________________
                                                    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
                           April 23, 1997                       5 of 7
                           Incorporated by Reference



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