Exhibit 99.1

  Statement Under Oath of Principal Executive Officer and Principal Financial
   Officer Regarding Facts and Circumstances Relating to Exchange Act Filings


I, David J. Lesar, state and attest that:

(1) To the best of my knowledge,  based upon a review of the  covered reports of
Halliburton  Company, and, except as corrected or  supplemented in a  subsequent
covered report:

     -   no covered report  contained an untrue statement  of a material fact as
         of  the end of  the period covered by such report  (or in the case of a
         report on Form 8-K or  definitive  proxy materials,  as of the  date on
         which it was filed); and


     -   no covered report  omitted to state a  material fact  necessary to make
         the statements  in the covered report, in  light of  the  circumstances
         under which they were made, not  misleading as of the end of the period
         covered  by such report (or  in the case  of a report  on  Form 8-K  or
         definitive proxy materials, as of the date on which it was filed).


(2) I  have reviewed  the contents of this  statement with  the Company's  audit
committee.

(3) In this statement under oath, each  of the following, if  filed on or before
the date of this statement, is a "covered report":

     -   Annual Report of Halliburton  Company on Form  10-K for the year  ended
         December 31, 2001;


     -   all  reports on Form 10-Q,  all reports on  Form 8-K and all definitive
         proxy  materials  of  Halliburton  Company  filed  with the  Commission
         subsequent to the filing of the Form 10-K identified above; and


      -  any amendments to any of the foregoing.


Signature:  /s/ David J. Lesar
          -----------------------

Name:  David J. Lesar

Date:  August 12, 2002


Subscribed and sworn to before me this 12th day of August, 2002.


/s/ Karen Oddo
- ------------------
Notary Public


My Commission Expires:  (Seal)  04-26-2005