


FOR IMMEDIATE RELEASE               Contact: Guy T. Marcus
June 25, 1998                                V.P.-Investor Relations
                                             (214) 978-2691


                   HALLIBURTON STOCKHOLDERS APPROVE PROPOSALS

         DALLAS, Texas - At Halliburton  Company's (NYSE:HAL) special meeting of
stockholders  today,  held  in  lieu  of  its  annual  meeting,   the  company's
stockholders  approved each of the following  four  proposals  voted upon at the
meeting:

                  1.  Amendment  to   Halliburton's   restated   certificate  of
                      incorporation to increase the authorized  number of shares
                      of the company from 400 million to 600 million shares.

                  2.  Issuance  of  Halliburton  common  stock  pursuant  to  an
                      agreement  and  plan  of  merger  between  Halliburton and
                      Dresser Industries, Inc. (NYSE:DI).

                  3.  Election  of the ten nominees named in the proxy statement
                      to serve as directors of Halliburton Company.

                  4.  Appointment   of  Arthur   Andersen  LLP  as   independent
                      accountants to examine the financial  statements and books
                      and records of Halliburton for 1998.

         Halliburton said that the company and Dresser are continuing to provide
requested  information to regulatory bodies and expect to complete the merger in
the fall of 1998.

         Halliburton  Company is one of the world's largest  diversified  energy
services, engineering, maintenance, and construction companies. Founded in 1919,
Halliburton  provides a broad range of energy services and products,  industrial
and marine engineering and construction services.

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