EX-32.1 5 exhibit_32-1.htm SECTIONN 906 CERT - DAVE LESAR Sectionn 906 Cert - Dave Lesar
                    Exhibit 32.1


CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350
AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


This certification is provided pursuant to § 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. § 1350, and accompanies the Quarterly Report of Halliburton Company (the “Company”) on Form 10-Q for the period ending June 30, 2006 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 that:
 
(1)  
The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange 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.




Date:  July 28, 2006                            


/s/ David J. Lesar                             
David J. Lesar
Chief Executive Officer
 
 
 
1