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)

                                FEBRUARY 19, 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  February  19,  1998  registrant  issued  a press  release  entitled
 Dividend Declaration and Shareholders' Meeting pertaining,  among other things,
 to an  announcement  that  registrant's  board of  directors  declared  a first
 quarter  dividend of 12.5 cents a share on registrant's  common stock,  payable
 March 25, 1998 to  shareholders  of record at the close of business on March 4,
 1998.  Registrant's  annual meeting of shareholders was set for May 19, 1998 in
 Dallas,  Texas. Record date for determination of shareholders  entitled to vote
 at such meeting is at the close of business on March 23, 1998.

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 February 19, 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:    February 19, 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
                           February 19, 1998
                           Incorporated by Reference


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FOR IMMEDIATE RELEASE      Contact: Guy T. Marcus      Dirk Vande Beek
February 19, 1998                   VP-Inv. Rel.       Media Relations
                                    (214) 978-2691     (713) 676-8097


                 DIVIDEND DECLARATION AND SHAREHOLDERS' MEETING


         DALLAS,  Texas  --  The  board  of  directors  of  Halliburton  Company
(NYSE:HAL)  today declared a first quarter dividend of 12.5 cents a share on the
company's common stock,  payable March 25, 1998 to shareholders of record at the
close of business on March 4, 1998.
         The company's annual meeting of shareholders was set for May 19,1998 in
Dallas, Texas. Record date for determination of shareholders entitled to vote at
such meeting is March 23, 1998 at the close of business.
         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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