EXHIBIT 23.7
 
                        CONSENT OF SALOMON SMITH BARNEY
   
  Salomon Brothers Inc and Smith Barney Inc. (collectively doing business as
"Salomon Smith Barney") hereby consent to the use of our name and to the
description of our opinion letter, dated February 25, 1998 in, and to the
inclusion of such opinion letter as Appendix F to, the Joint Proxy
Statement/Prospectus of Halliburton Company and Dresser Industries, Inc.,
which Joint Proxy Statement/Prospectus is part of the Registration Statement
on Form S-4 of Halliburton Company. By giving such consent, we do not hereby
admit that we are experts with respect to any part of such Registration
Statement within the meaning of the term "expert" as used in, or that we come
within the category of persons whose consent is required under, the Securities
Act of 1933, as amended, or the rules and regulations of the Securities and
Exchange Commission promulgated thereunder.     
 
                                          SALOMON BROTHERS INC
                                          SMITH BARNEY INC.
                                             
                                          By:  Salomon Brothers Inc.    
                                             --------------------------------

New York, New York
   
May 15, 1998