EXHIBIT 23.4
 
                      CONSENT OF INDEPENDENT ACCOUNTANTS
   
We hereby consent to the incorporation by reference in the Prospectus
constituting part of this Registration Statement on Form S-4 of Halliburton
Company of our report dated November 26, 1997 appearing on page 27 of Dresser
Industries, Inc.'s Annual Report on Form 10-K (as amended by Form 10-K/A) for
the year ended October 31, 1997. We also consent to the references to us under
the headings "Experts" and "Dresser Selected Historical Consolidated Financial
Information" in such Prospectus. However, it should be noted that Price
Waterhouse LLP has not prepared or certified such "Dresser Selected Historical
Consolidated Financial Information."     
 
Price Waterhouse LLP
Dallas, Texas
   
May 15, 1998