SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549



                                    FORM 8-K

                                 CURRENT REPORT

                     PURSUANT TO SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                DATE OF REPORT (date of earliest event reported)

                                 APRIL 20, 1998

                               Halliburton Company
             (Exact name of registrant as specified in its charter)

State or other                      Commission            IRS Employer
jurisdiction                        File Number           Identification
of incorporation                                          Number

Delaware                              1-3492              No. 75-2677995

                               3600 Lincoln Plaza
                             500 North Akard Street
                            Dallas, Texas 75201-3391
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 214/978-2600






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         INFORMATION TO BE INCLUDED IN REPORT

Item 5.  Other Events

         The registrant  may, at its option,  report under this item any events,
with respect to which information is not otherwise called for by this form, that
the registrant deems of importance to security holders.

         On  April  20,  1998  registrant   issued  a  press  release   entitled
 Halliburton and Dresser Receive  Information  Request  pertaining,  among other
 things,  to an announcement that registrant and Dresser  Industries,  Inc. have
 received requests for additional  information concerning the proposed merger of
 registrant  and Dresser from the Antitrust  Division of the U.S.  Department of
 Justice.  The companies indicated that the requests for additional  information
 were not  unexpected  and they plan to respond  promptly to the  Department  of
 Justice.

Item 7.  Financial Statements and Exhibits

         List below the financial  statements,  pro forma financial  information
and exhibits, if any, filed as part of this report.

         (c)      Exhibits.

                  Exhibit 20 - Press release dated April 20, 1998.




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                                   SIGNATURES

         Pursuant to the  requirements  of the Securities  Exchange Act of 1934,
the  registrant  has duly  caused  this report to be signed on its behalf by the
undersigned hereunto duly authorized.


                                          HALLIBURTON COMPANY




Date:    April 22, 1998                   By: /s/ Susan S. Keith
                                              --------------------------
                                              Susan S. Keith
                                              Vice President and Secretary



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                                  EXHIBIT INDEX



Exhibit                                                       Sequentially
Number                     Description                        Numbered Page

20                         Press Release of                   5 of 5
                           April 20, 1998
                           Incorporated by Reference





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FOR IMMEDIATE RELEASE       Contact: Guy T. Marcus          Don Galletly
April 20, 1998                       Halliburton Company    Dresser Industries
                                     (214) 978-2691         (214) 740-6757


               HALLIBURTON AND DRESSER RECEIVE INFORMATION REQUEST

         DALLAS,   Texas   --   Halliburton   Company   (NYSE:HAL)  and  Dresser
Industries,  Inc.  (NYSE:DI)  today  announced  that the companies have received
requests  for  additional   information   concerning  the   proposed   merger of
Halliburton  and  Dresser  from  the  Antitrust Division of the U. S. Department
of Justice.

         On February 26, 1998,  Halliburton and Dresser announced that the board
of directors of both  companies  had  unanimously  approved a definitive  merger
agreement  calling for Dresser's  shareholders to receive one newly issued share
of Halliburton common stock for each share of Dresser common stock.

         Halliburton  and Dresser  indicated  that the requests  for  additional
information  were  not  unexpected  and they  plan to  respond  promptly  to the
Department of Justice.  The companies  continue to expect to complete the merger
during 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.

         Dresser is a leading global  supplier to the total  hydrocarbon  energy
stream. Dresser's product and service offerings encompass sophisticated drilling
and well construction systems as well as technologies,  engineered equipment and
project management for the transportation and conversion of oil and gas.

                                       ###

         NOTE:  In  accordance  with the Safe Harbor  provisions  of the Private
Securities  Litigation  Reform  Act of 1995,  Halliburton  Company  and  Dresser
Industries,  Inc.,  caution  that  statements  in this press  release  which are
forward  looking and which provide other than  historical  information,  involve
risks and  uncertainties  that may  impact  the  companies'  actual  results  of
operations. Please see Halliburton's 10-K for the fiscal year ended December 31,
1997 and  Dresser's  10-K for the fiscal year ended  October 31, 1997 for a more
complete discussion of such risk factors.


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