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)

                                  MAY 20, 2002

                               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






                                Page 1 of 5 Pages
                       The Exhibit Index Appears on Page 4

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 May 20, 2002 registrant issued a press release entitled "Halliburton Asbestos Plaintiffs Agree to Extend Current Stay on Asbestos Claims," pertaining to an announcement that registrant has reached agreement with Harbison-Walker Refractories Company and the Official Committee of Asbestos Creditors in the Harbison-Walker bankruptcy to consensually extend the period of the stay contained in the Bankruptcy Court's temporary restraining order until June 4, 2002. The Court's temporary restraining order originally entered on February 14, 2002 stays more than 200,000 pending asbestos claims against registrant's subsidiary, Dresser Industries, Inc. See registrant's earlier press releases of February 22, 2002 and February 14, 2002 for more details on the stay entered by the Court. 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 May 20, 2002. 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: May 21, 2002 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 May 20, 2002 Incorporated by Reference Page 4 of 5 Pages The Exhibit Index Appears on Page 4

FOR IMMEDIATE RELEASE                  Contact: Wendy Hall
May 20, 2002                                    Public Relations
                                                713.676.5227
                                                wendy.hall@halliburton.com

                                                Cedric Burgher
                                                Investor Relations
                                                713.676.4608
                                                cedric.burgher@halliburton.com


            HALLIBURTON ASBESTOS PLAINTIFFS AGREE TO EXTEND CURRENT
                            STAY ON ASBESTOS CLAIMS

DALLAS,  Texas - Halliburton  Company  (NYSE:  HAL) today  announced that it has
reached  agreement with  Harbison-Walker  Refractories  Company and the Official
Committee  of  Asbestos   Creditors  in  the   Harbison-Walker   bankruptcy   to
consensually  extend the period of the stay contained in the Bankruptcy  Court's
temporary   restraining   order  until  June  4,  2002.  The  Court's  temporary
restraining order, which was originally entered on February 14, 2002, stays more
than 200,000 pending asbestos claims against  Halliburton's  subsidiary  Dresser
Industries,  Inc.  For more details on the stay entered by the Court on February
14, and extended on February 21 and April 4,  Halliburton  refers to its earlier
press releases of February 22, 2002 and February 14, 2002.
     Halliburton,  founded in 1919, is one of the world's  largest  providers 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 and Engineering and  Construction  Group business  segments.  The
company's World Wide Web site can be accessed at www.halliburton.com.

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