Exhibit 23.1



                    CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS


     As independent public  accountants,  we hereby consent to the incorporation
by  reference in this  registration  statement of our report dated July 14, 1999
included in the Halliburton Savings Plan's Form 11-K for the year ended December
31,  1998,  and our report  dated  January  25,  1999  included  in  Halliburton
Company's  Form 10-K for the year ended  December 31, 1998 and to all references
to our Firm included in this registration  statement. In said report included in
Halliburton  Company's  Form 10-K for the year ended  December 31, 1998,  Arthur
Andersen LLP states that with respect to Dresser  Industries,  Inc., for each of
the two years in the period ended December 31, 1997, its opinion is based on the
reports of other independent public accountants,  namely PricewaterhouseCoopers.
The financial  statements  referred to above have been incorporated by reference
herein in reliance on the report of such  independent  accountants  given on the
authority of PricewaterhouseCoopers as experts in auditing and accounting.




                                         ARTHUR ANDERSEN LLP




Dallas, Texas
   July 19, 1999