

FOR IMMEDIATE RELEASE           Contact: Guy T. Marcus
November 19, 1998                        Vice President-Investor Relations
                                         214/978-2691


                     HALLIBURTON $150 MILLION NOTES OFFERING


         DALLAS,  Texas  - An  offering  of $150  million  principal  amount  of
Halliburton  Company  (NYSE:HAL)  5.625 percent notes due December 1, 2008 under
the company's medium-term note program was issued today through the lead manager
Merrill Lynch,  and co-managers  Lehman Brothers and Morgan Stanley Dean Witter.
The notes were priced at 99.976 percent to yield 5.628 percent to maturity.

         The  net  proceeds  from  the  sale  of the  notes  will  be  added  to
Halliburton's  general funds and used for general corporate purposes,  which may
include repayment of short-term debt and other corporate obligations.

         Halliburton  Company,  founded in 1919, is the world's largest provider
of products and services to the  petroleum  and energy  industries.  The company
serves its  customers  with a broad range of products and  services  through its
Energy Services Group, Engineering and Construction Group, and Dresser Equipment
Group business segments. In 1997 Halliburton conducted business with a workforce
of  approximately  100,000 in over 120 countries.  The company's  World Wide Web
site can be accessed at http://www.halliburton.com.


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                       The Exhibit Index Appears on Page 4

