5
FOR IMMEDIATE RELEASE              Contact - Guy T. Marcus
May 20, 1994                        Vice President-Inv. Rel.
                                    (214) 978-2691

         HALLIBURTON ELECTS STEGEMEIER NEW DIRECTOR


DALLAS, Texas -- Halliburton Company has elected Richard J.
Stegemeier, chairman of Unocal Corporation, to serve as a
member of its board of directors.  Mr. Stegemeier was elected
at Halliburton's annual shareholders meeting on May 17, 1994.

Mr. Stegemeier, 65, has been with Unocal since 1951, when he
joined the company's principal operating subsidiary, Union Oil
Company of California.  He served as Unocal Corporation's
chief executive officer from July 1988 until his retirement on
May 1, 1994 and has served as chairman of the company since
April 1989.

In addition to serving on the Halliburton board of directors
he is a director of Unocal Corporation, First Interstate
Bancorp, Foundation Health Corporation, Northrop Corporation
and Outboard Marine Corporation.
  6
Mr. Stegemeier also serves as the chairman of the California
Chamber of Commerce and the Los Angeles World Affairs Council,
and he is a member of the National Academy of Engineering, the
Council on Foreign Relations, the Advisory Board of the US
Secretary of Energy, The Conference Board and the California
Council on Science and Technology.

A native of Illinois, Mr. Stegemeier earned his BS degree in
petroleum engineering from the University of Missouri-Rolla in
1950 and his MS degree, also in petroleum engineering, from
Texas A&M University in 1951.

Halliburton Company is one of the world's largest diversified
energy services, engineering, maintenance and construction
companies.  In 1994 Halliburton is celebrating 75 years of
providing customers with a broad range of energy services and
products, industrial and marine engineering and construction
services, and property and casualty insurance services.

                             # # #