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 2, 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 2, 1997,  registrant  issued a press release  entitled  Brown &
Root Wins North Sea Contract For Amerada Hess pertaining, among other things, to
an announcement that registrant's  wholly-owned subsidiary,  Brown & Root Energy
Services, has been awarded a facilities contract,  valued at almost $300 million
for Amerada Hess' South Arne field development in the Danish sector of the North
Sea.

         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 2, 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: July 2, 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 2, 1997                         5 of 6
                               Incorporated by Reference































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FOR IMMEDIATE RELEASE          Contact:  Guy T. Marcus    Barbara Johnson
July 2, 1997                             VP-Inv. Rel.     Media Rel.
                                         214/978-2691     713/676-8097


              BROWN & ROOT WINS NORTH SEA CONTRACT FOR AMERADA HESS

     DALLAS,  Texas -- Brown & Root Energy Services, a subsidiary of Halliburton
Company  (NYSE:HAL),  has been awarded a facilities  contract,  valued at almost
$300 million for Amerada Hess' South Arne field development in the Danish sector
of  the  North  Sea.  The  workscope  comprises  detailed  design,   procurement
fabrication,   installation  and   commissioning  of  a  concrete  gravity  base
sub-structure  (GBS),  topsides  facilities and a subsea  drilling  template and
guide piles.
     "The platform will be unusual in that the topsides will be supported on the
GBS by one concrete tower and a steel lattice drilling  tower/conductor  frame,"
explained Lindsay Woodhead, Brown & Root's project manager. "The design saves on
cost and shortens the fabrication schedule."
     Current   plans  are  to  construct   the   100,000-ton   GBS  at  BARMAC's
newly-refurbished dock at Nigg, Scotland.  BARMAC, jointly owned by Brown & Root
and J. Ray McDermott, will use 28,000 cubic meters of concrete in the structure,
which will be capable of storing 550,000 barrels of oil.
     BARMAC also will  fabricate the platform  topsides at its Nigg and Ardesier
yards.  Installation of the drilling template as well as the GBS will be carried
out by Rockwater, the subsea arm of Brown & Root Energy Services.

                                    - more -

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Halliburton Company                



     Don Wright,  managing director of BARMAC,  said 400 people will be employed
at peak  manning  level at  Ardersier  on the  topsides  and steel tower and the
construction  of the concrete  base will employ up to 500 workers.
     Brown & Root anticipates  fabrication  start-up in September of the GBS and
the topsides,  with GBS installation in March 1999 and topsides  installation in
April 1999. Sub-surface work will commence in September with the installation of
the drilling template.
     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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