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 13, 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 April 13, 1999 registrant issued a press release entitled Halliburton CEO Announces Completion of Major Workforce Reductions pertaining, among other things, to an announcement that registrant has no plans at present for further major layoffs. 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 13, 1999. Page 2 of 5 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 19, 1999 By: /s/ Susan S. Keith ---------------------------------- Susan S. Keith Vice President and Secretary Page 3 of 5 Pages The Exhibit Index Appears on Page 4

EXHIBIT INDEX Exhibit Sequentially Number Description Numbered Page 20 Press Release of 5 of 5 April 13, 1999 Incorporated by Reference Page 4 of 5 Pages The Exhibit Index Appears on Page 4

FOR IMMEDIATE RELEASE                     Contact:  Dirk Vande Beek
April 13, 1999                                      Halliburton Company
                                                    (713) 676-8097

                          OF MAJOR WORKFORCE REDUCTIONS

DALLAS,  Texas - Dick Cheney,  Chief  Executive  Officer of Halliburton  Company
(NYSE:HAL),  announced today that contrary to recent press reports, there are no
plans at present for further major layoffs at the company.

During the last six months,  Halliburton has  successfully  implemented a merger
with Dresser  Industries.  This merger,  coupled with the global downturn of oil
and gas business,  has driven the  elimination  of more than 9,000  positions in
Halliburton's energy services sector.

While there may be a few additional  layoffs,  Cheney said  Halliburton does not
anticipate further major personnel reductions, unless market conditions warrant.

Halliburton  Company is one of the world's largest  diversified energy services,
engineering,  maintenance,  construction  and energy  equipment  companies.  The
company's world wide web can be accessed at


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