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 11, 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  11,  1999  registrant   issued  a  press  release   entitled
Halliburton's  Kellogg  Brown  & Root  Joint  Venture  Will  Execute  Major  LNG
Expansion in Nigeria  pertaining,  among other things,  to an announcement  that
registrant's  Kellogg  Brown & Root  subsidiary  has  been  awarded  a turn  key
engineering  and  construction  contract  for a major  expansion  of Nigeria LNG
Limited's  Liquefied  Natural Gas  complex at Bonny  Island.  The joint  venture
consists of Technip, Snamprogetti, Kellogg Brown & Root and JGC Corporation.

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 11, 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 6
                           March 11, 1999
                           Incorporated by Reference






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FOR IMMEDIATE RELEASE               CONTACT: Zelma Branch
March 11, 1999                               Halliburton Public Relations
                                             713-676-7067
                                             Dirk Vande Beek, Manager
                                             Halliburton Public Relations
                                             713-676-8097


      Halliburton's Kellogg Brown & Root joint venture will execute major
                            LNG expansion in Nigeria

           Consortium to continue work at Bonny Island on third train

DALLAS,  Texas -- Nigeria LNG Limited  has  awarded a turn key  engineering  and
construction contract for a major expansion of its Liquefied Natural Gas complex
at Bonny Island to a joint  venture of Technip,  Snamprogetti,  Kellogg  Brown &
Root and JGC  Corporation  affiliates.  Kellogg  Brown & Root is a subsidiary of
Halliburton Company (NYSE:HAL).

The  third  train and  associated  facilities  included  in the  expansion  will
increase the  capability  of the complex to process  associated  gas  feedstock,
enabling  a major  reduction  in gas  flaring in  Nigeria.  In  addition  to the
environmental  benefits,  the  expansion  is expected to generate  large  export
earnings for Nigeria and establish NLNG as an increasingly significant player in
the global natural gas industry.

"We are proud to continue our work with NLNG to expand the world class  facility
we are building in Nigeria," said Dave Lesar, president of Halliburton Co.

"This win extends  Kellogg Brown  & Root's track  record in  the LNG  market and
demonstrates  our ability to team with  our partners in bringing our world class
engineering, construction, and project execution  skills  to complex  projects,"
added A. J. (Jack) Stanley, president of Kellogg Brown & Root.

With the expansion,  LNG production  capacity from the complex will be more than
8.6  million  tons per annum by the time all three  trains are in  operation  in
2002. The initial phase of the  grassroots  Bonny Island complex is currently in
construction  by the joint venture,  with first LNG exports  targeted later this
year.

The shareholders in Nigeria LNG Limited are Nigerian National  Petroleum Company
and subsidiaries of Royal Dutch/Shell, Elf Aquitaine and Agip.


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Headquartered   in  Houston,   Kellogg   Brown  &  Root  is  an   international,
technology-based  engineering and construction company providing a full spectrum
of  industry-leading  services  to the  hydrocarbon,  chemical,  energy,  forest
products, manufacturing, and mining and minerals industries.

Halliburton  Company is one of the world's largest  diversified energy services,
engineering,  construction,  maintenance, and equipment companies. The company's
World Wide Web can be accessed at http://www.halliburton.com.

                                       ###

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