CERTIFICATION

I, David J. Lesar, certify that:

    1.   I have  reviewed this  quarterly report  on  Form 10-Q  of  Halliburton
         Company;

    2.   Based  on  my  knowledge, this  report  does  not  contain  any  untrue
         statement of a material fact or omit to state a material fact necessary
         to  make  the  statements  made,  in  light  of the circumstances under
         which such  statements  were  made,  not misleading with respect to the
         period covered by this report;

    3.   Based on my  knowledge,  the financial  statements, and other financial
         information  included in  this report, fairly  present in  all material
         respects the financial condition, results of operations  and cash flows
         of the registrant as of, and for, the periods presented in this report;

    4.   The registrant's other certifying officer(s) and I are responsible  for
         establishing  and maintaining disclosure controls  and  procedures  (as
         defined  in  Exchange  Act  Rules  13a-15(e)  and  15d-15(e))  for  the
         registrant and have:

         (a)      Designed such disclosure  controls and  procedures,  or caused
                  such  disclosure  controls and procedures to be designed under
                  our supervision,  to ensure that material information relating
                  to the registrant, including its consolidated subsidiaries, is
                  made known to us by others within those entities, particularly
                  during the period in which this report is being prepared;

         (b)      Evaluated the  effectiveness  of the  registrant's  disclosure
                  controls  and  procedures  and  presented  in this  report our
                  conclusions about the effectiveness of the disclosure controls
                  and  procedures,  as of the end of the period  covered by this
                  report based on such evaluation; and

         (c)      Disclosed  in  this  report  any  change  in the  registrant's
                  internal control over financial reporting that occurred during
                  the registrant's  most recent fiscal quarter (the registrant's
                  fourth  fiscal  quarter in the case of an annual  report) that
                  has materially affected, or is reasonably likely to materially
                  affect,  the  registrant's  internal  control  over  financial
                  reporting; and

    5.   The registrant's  other certifying  officer(s)  and  I  have disclosed,
         based on our most recent evaluation of internal control over  financial
         reporting, to the registrant's auditors and  the audit committee of the
         registrant's  board of directors  (or persons performing the equivalent
         functions):



         (a)      All  significant deficiencies  and material weaknesses  in the
                  design  or  operation  of  internal   control  over  financial
                  reporting which are reasonably likely  to adversely affect the
                  registrant's ability  to record, process, summarize and report
                  financial information; and

         (b)      Any  fraud, whether or not  material, that involves management
                  or  other  employees  who  have  a  significant  role  in  the
                  registrant's internal control over financial reporting.

Date:    August 11, 2003
                                            /s/ David J. Lesar
                                            -----------------------------
                                            David J. Lesar
                                            Chief Executive Officer