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 17, 2000

                               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  17,  2000  registrant   issued  a  press  release   entitled
"Halliburton  Business Unit Wins $300 Million Shell  Contract,"  pertaining  to,
among  other  things,  the  announcement  that Brown & Root Energy  Services,  a
business  unit  of  registrant,   has  been  selected  by  the  Shell  Petroleum
Development  Company of Nigeria Limited ("SPDC") and its partners to work on the
development  of the  first  major  offshore  oil and gas  facility  for  SPDC in
Nigeria. The contract is valued at approximately US $300 million.

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 17, 2000.






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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 18, 2000                By: /s/ Susan S. Keith
                                          ----------------------------------
                                               Susan S. Keith
                                               Vice President and Secretary








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                                  EXHIBIT INDEX

Exhibit                                                       Sequentially
Number                     Description                        Numbered Page

20                         Press Release of                   5 of 7
                           April 17, 2000
                           Incorporated by Reference








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FOR IMMEDIATE RELEASE               CONTACT:  Wendy Hall Nantz
April 17, 2000                                Public Relations - Americas
                                              Halliburton Company
                                              (713) 676-5227
                                              wendy.hall.nantz@halliburton.com

                                              Taryn Rock
                                              Public Relations - Europe/Africa
                                              Halliburton Company
                                              44 1372 86 6693
                                              taryn.rock@halliburton.com



           HALLIBURTON BUSINESS UNIT WINS $300 MILLION SHELL CONTRACT

           Project to See one of the Largest FPSO Vessels to be Built
                             in the Last Five Years

DALLAS,  Texas  -  Brown & Root  Energy  Services  (BRES),  a  business  unit of
Halliburton  Company  (NYSE:  HAL),  has been  selected  by The Shell  Petroleum
Development  Company of Nigeria  Limited  (SPDC) and its partners to work on the
development  of the  first  major  offshore  oil and gas  facility  for  SPDC in
Nigeria.  The  contract,  valued at  approximately  $300  million  (US  dollars)
including  options,  was  awarded  to  BRES  after  successfully   completing  a
consolidation study for the project.
         The engineering,  procurement,  installation and  commissioning  (EPIC)
lump  sum  contract  is a  33-month  project,  plus  an  option  for a  two-year
operational  support  period.  In  addition,  the  contract  will  also  include
fabrication of a mooring  facility and one of the largest  floating  production,
storage and offloading (FPSO) vessels built in the last five years.
         "This  is an  exciting  project  for our  company,"  said  Dave  Lesar,
president and chief operating officer, Halliburton Company. "Brown & Root Energy
Services has an  extensive  track record in this type of work from both the EPIC
and  FPSO  perspective  with  current  successes  on the  Terra  Nova  FPSO  and
completion of the BP Schiehallion project."

                                     -more-

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HALLIBURTON/SHELL CONTRACT/2

        The upfront  engineering,  project  management and  procurement for the
project will be completed in BRES' Leatherhead, England, office. The vessel hull
will be completed under a separate  contract in Korea. In parallel with the hull
construction,  topsides  modules will be fabricated  at a nominated  fabrication
site in the Middle East or Far East.
         Upon completion of the hull with all marine systems,  BRES will tow the
vessel to the module  fabrication site. The  pre-assembled  modules will then be
installed on the vessel,  fully  integrated  with all existing  hull systems and
commissioned as fully as possible prior to tow to Nigeria.
         In tandem with this operation, a soft yoke mooring platform (SYMP) will
be provided by Single Buoy Moorings  (SBM) on an EPC  sub-contract  basis.  This
platform  will be the first  component  installed at the site.  The FPSO will be
towed from the topsides  fabrication and integration  site to Nigeria and moored
to  the  SYMP,  ready  for  final  commissioning  and  start-up.  Following  the
successful  commissioning and start-up,  the facility will be turned over to the
Shell Operations Group at which time a two-year  operational support period will
begin.
         "We are  proud of our  commitment  in  Nigeria  and the work  performed
during the  consolidation  study and look  forward to executing  this  important
project," said Randy Harl, president, Brown & Root Energy Services.
         Brown  &  Root  Energy  Services  supplies  engineering,  construction,
operations  and  maintenance  services  to the  upstream  oil and  gas  industry
worldwide.   Its  primary   role  is  the   engineering,   project   management,
construction,  maintenance and operation of the facilities that are utilized for
the production and  transportation  of oil and gas. Brown & Root Energy Services
is a business unit of Halliburton Company,  headquartered in Dallas,  Texas, and
operates in Nigeria through  Halliburton West Africa Limited in association with
Halliburton's Nigerian entity, Halliburton Energy Services Nigeria Limited.

                                     -more-

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HALLIBURTON/SHELL CONTRACT/3

         Halliburton Company is the world's leading diversified energy services,
engineering,  energy equipment,  construction and maintenance companies. Founded
in 1919,  Halliburton  provides a broad range of energy  services and  products,
industrial  and  marine   engineering  and  construction   services.   In  1999,
Halliburton's consolidated revenues were $14.9 billion and it conducted business
with a  workforce  of  approximately  100,000  in more than 120  countries.  The
company's World Wide Web site can be accessed at http://www.halliburton.com.

                                       ###


Note: In accordance  with the Safe Harbor  provisions of the Private  Securities
Litigation Reform Act of 1995,  Halliburton  Company cautions that statements in
this press  release  which are  forward  looking  and which  provide  other than
historical  information involve risks and uncertainties that that may impact the
company's actual results of operations.  Please see Halliburton's  Form 10-K for
the year ended  December 31, 1999 for a more  complete  discussion  of such risk
factors.




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