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 28, 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 28, 2002 registrant issued a press release entitled "Halliburton Settles Thirty Asbestos Claims," pertaining to an announcement that registrant has settled a group of thirty mesothelioma and lung cancer cases pending in New York at a value consistent with registrant's historical averages for these types of claims. 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 28, 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 28, 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 28, 2002 Incorporated by Reference Page 4 of 5 Pages The Exhibit Index Appears on Page 4

FOR IMMEDIATE RELEASE                       Cedric Burgher
May 28, 2002                                Vice President, Investor Relations
                                            713.676.4608
                                            cedric.burgher@halliburton.com

                                            Wendy Hall
                                            Manager, Public Relations
                                            713.676.5227
                                            wendy.hall@halliburton.com


                   HALLIBURTON SETTLES THIRTY ASBESTOS CLAIMS

Dallas,  Texas - Halliburton  (NYSE:HAL) announced today that it settled a group
of thirty  mesothelioma  and lung  cancer  cases  pending in New York at a value
consistent with the company's  historical averages for these types of claims. It
is Halliburton's  policy not to announce settlements reached during the ordinary
course of litigation unless they are material.  However, at the company's recent
meeting with analysts and investors  there were numerous  inquiries with respect
to the  status  of these  particular  cases,  which  includes  one that had been
presented  to a jury.  The  company  does not  intend to change  this  policy by
issuing  the  current  statement,  but an  exception  has been made  because  of
widespread investor interest in these particular cases.

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.