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)

                                  MARCH 4, 1999

                               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 March 4, 1999 registrant issued a press release entitled Halliburton
Boosts  Integrated  Solutions  Offerings  pertaining,  among other things, to an
announcement that registrant's Halliburton Energy Services' Integrated Solutions
operations  and the  Halliburton  Energy  Development  business  unit are  being
combined. They will now operate as part of Halliburton Energy Services.

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 March 4, 1999.






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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:    March 18, 1999                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 5
                           March 4, 1999
                           Incorporated by Reference







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FOR IMMEDIATE RELEASE                         Contact: Dirk Vande Beek
March 4, 1999                                          Public Relations
                                                       Halliburton Company
                                                       713/676-8097

                HALLIBURTON BOOSTS INTEGRATED SOLUTIONS OFFERINGS
     Oil Services Company Combines Business Units to Better Serve Customers

Dallas,  Texas---  Halliburton  Company  (NYSE:  HAL)  announced  today that its
Halliburton Energy Services' Integrated Solutions operations and the Halliburton
Energy Development (HED) business unit are being combined. They will now operate
as part of Halliburton  Energy Services (HES). This move is part of a three-year
initiative to integrate the diverse businesses of the company.

In 1996  Halliburton  began to  develop a  lifecycle  of the  field  integration
process that takes advantage of its unique  capabilities  to integrate  services
together from the reservoir (HES and Landmark  Graphics) to offshore  facilities
(Brown & Root Energy Services) to downstream  facilities (Kellogg Brown & Root).
HED was set up to facilitate the commercial  development and project  management
processes necessary to make these projects successful for its customers.

"We  recognized at  Halliburton  that no participant in our industry could offer
this  breadth  of  integrated  services  to our  customers,"  said Dick  Cheney,
Halliburton Chief Executive Officer. "With the merger of Halliburton Company and
Dresser Industries,  this lifecycle development process has matured to the point
where I believe  the  skills to  integrate  all of our  capabilities  across the
Company now exists within the business units."

HES will use the  combined  resources  and  experience  it has  gained as market
leader in this area to continue to aggressively pursue its strategy of providing
integrated  solutions  offerings to its customers  through  creative  commercial
arrangements and unique risk/reward sharing.

"The fact that we have reached this point in our organizational  capabilities is
a tribute to all of the employees of HES, Landmark Graphics, BRES and HED," said
Halliburton  President and Chief Operating  Officer Dave Lesar. "The industry is
going  through  tough times right now,  but we have the right team to succeed in
this market and to continue to add exceptional value for our customers. "

Founded in 1919,  Halliburton  Company is the world's leading diversified energy
services, engineering, construction,  maintenance, and energy equipment company.
For more information, please contact our website at www.halliburton.com.




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