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 8, 2003

                               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


                               4100 Clinton Drive
                            Houston, Texas 77020-6299
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 713-676-3011

INFORMATION TO BE INCLUDED IN REPORT Item 9. Regulation FD Disclosure Halliburton Company (Halliburton) is furnishing herewith the Certifications pursuant to 18 U.S.C. Section 1350 as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002. David J. Lesar, Chairman of the Board, President, and Chief Executive Officer of Halliburton, and C. Christopher Gaut, Executive Vice President and Chief Financial Officer of Halliburton signed these Certifications on May 7, 2003. The Certifications were furnished to the Securities and Exchange Commission, as accompanying correspondence in connection with the Quarterly Report of Halliburton on Form 10-Q for the period ended March 31, 2003 as filed with the Securities and Exchange Commission on May 8, 2003. The text of these Certifications is as follows: CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 In connection with the Quarterly Report of Halliburton Company (the "Company") on Form 10-Q for the period ending March 31, 2003 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, David J. Lesar, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. ss. 1350, as adopted pursuant to ss. 906 of the Sarbanes-Oxley Act of 2002, that: (1) The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Act of 1934; and (2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. /s/ David J. Lesar ------------------------------- David J. Lesar Chief Executive Officer May 7, 2003

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 In connection with the Quarterly Report of Halliburton Company (the "Company") on Form 10-Q for the period ending March 31, 2003 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, C. Christopher Gaut, Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. ss. 1350, as adopted pursuant to ss. 906 of the Sarbanes-Oxley Act of 2002, that: (3) The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Act of 1934; and (4) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. /s/ C. Christopher Gaut ------------------------------------ C. Christopher Gaut Chief Financial Officer May 7, 2003

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 8, 2003 By: /s/ Margaret E. Carriere ----------------------------- Margaret E. Carriere Vice President and Secretary