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






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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 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.






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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:     May 21, 2002                 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
              May 20, 2002
              Incorporated by Reference










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