Exhibit 23.8

                                  Consent of
                 Person Named as about to Become a Director of
                              Halliburton Company

        In conformity with Rule 438 of the Securities Act of 1933, as amended, 
the undersigned hereby consents to be named in the Registration Statement on 
Form S-4 filed by Halliburton Company (the "Company") with the Securities and 
Exchange Commission as a person to become a director of the Company upon 
consummation of the merger therein described.

Date: May 14, 1998

                                        /s/ William E. Bradford
                                        --------------------------------
                                        William E. Bradford