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 29, 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 29, 1999 registrant issued a press release entitled Halliburton Divests Pathfinder LWD Business pertaining, among other things, to an announcement that registrant has sold its logging-while-drilling and related measurement-while-drilling business known as PathFinder to W-H Energy Services, Inc. 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 29, 1999. Page 2 of 6 Pages The Exhibit Index Appears on Page 4

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 5, 1999 By: /s/ Susan S. Keith ---------------------------------- Susan S. Keith Vice President and Secretary Page 3 of 6 Pages The Exhibit Index Appears on Page 4

EXHIBIT INDEX Exhibit Sequentially Number Description Numbered Page 20 Press Release of 5 of 6 March 29, 1999 Incorporated by Reference Page 4 of 6 Pages The Exhibit Index Appears on Page 4


FOR IMMEDIATE RELEASE             Contact: Guy T. Marcus
March 29, 1999                             Vice President-Investor Relations
                                           214/978-2691


                   HALLIBURTON DIVESTS PATHFINDER LWD BUSINESS

         DALLAS, Texas - Halliburton Company (NYSE:HAL) and W-H Energy Services,
Inc.,    jointly    announced    today   that    Halliburton    has   sold   its
logging-while-drilling  (LWD)  and  related   measurement-while-drilling   (MWD)
business known as PathFinder to W-H. The sale also included certain  directional
drilling  assets in the North Sea.  Consideration  paid to complete the sale was
not disclosed by Halliburton and W-H.

         Halliburton  has  completed the sale of the business in order to comply
with the consent  decree the company  entered into with the U.S.  Department  of
Justice on September 29, 1998 to conclude antitrust review of Halliburton's 1998
merger with Dresser Industries, Inc.

         Halliburton  and W-H will  cooperate  in an orderly  transition  of the
PathFinder  business to W-H.  Halliburton  will continue to provide separate LWD
services through its Sperry Sun business unit, which was acquired as part of the
merger with Dresser. In addition, Halliburton will continue to provide sonic LWD
services using its existing technologies, which it will share with PathFinder.

         W-H Energy Services, Inc. is a privately owned, Houston-based, oilfield
service  company which  provides a wide range of oilfield  services  through its
nine subsidiaries. One of its subsidiaries, Thomas Energy Services, provides MWD
services and will be integrated with PathFinder to provide  complete MWD and LWD
services to  customers operating  in the Gulf  of Mexico,  the North Sea  and in
certain other international locations.


                                     -more-
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Halliburton Company -2- Halliburton Company, founded in 1919, is the world's largest provider of products and services to the petroleum and energy industries. The company serves its customers with a broad range of products and services through its Energy Services Group, Engineering and Construction Group, and Dresser Equipment Group business segments. The company's World Wide Web site can be accessed at http://www.halliburton.com. ### Page 6 of 6 Pages The Exhibit Index Appears on Page 4