

FOR IMMEDIATE RELEASE               Contact: Guy T. Marcus    Dirk Vande Beek
March 17, 1998                               V.P.-Inv. Rel.   Media Rel.
                                             (214) 978-2691   (713) 676-8097


              HALLIBURTON POSTPONES ANNUAL MEETING OF SHAREHOLDERS


         DALLAS, Texas -- Halliburton Company (NYSE:HAL) today announced that it
is temporarily  postponing the company's annual meeting of  shareholders,  which
was originally scheduled for May 19, 1998, in order to take action on items that
are  required to implement  the recently  announced  plans for  Halliburton  and
Dresser Industries, Inc. (NYSE:DI) to merge.

         The Halliburton meeting of shareholders will be rescheduled for a later
date.  The meeting  will  include  consideration  of  proposals  to increase the
authorized  number of shares of the company's  common stock and also approve the
issuance of  approximately  175 million new shares of  Halliburton  common stock
pursuant to the previously announced definitive merger agreement, which has been
unanimously  approved by the board of directors of both Halliburton  Company and
Dresser   Industries.   The  definitive   merger  agreement  calls  for  Dresser
Industries'  shareholders  to  receive  one newly  issued  share of  Halliburton
Company common stock for each Dresser Industries common share.

         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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                       The Exhibit Index Appears on Page 4


