


FOR IMMEDIATE RELEASE                       Contact: Guy T. Marcus
May 19, 1998                                         V.P.-Investor Relations
                                                     (214) 978-2691


                       HALLIBURTON SECOND QUARTER DIVIDEND


         DALLAS,  Texas -- Halliburton  Company (NYSE:HAL)  announced today that
its board of directors has declared a 1998 second quarter dividend of 12.5 cents
a share on the company's common stock,  payable June 24, 1998 to shareholders of
record at the close of business on June 3, 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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                       The Exhibit Index Appears on Page 4

