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)

                                OCTOBER 30, 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  October  30,  1998  registrant   issued  a  press  release  entitled
Halliburton 1998 Fourth Quarter Dividend  pertaining,  among other things, to an
announcement  that  registrant's  board of directors  has declared a 1998 fourth
quarter  cash  dividend  of 12.5  cents a share on  registrant's  common  stock,
payable  December 22, 1998 to shareholders of record at the close of business on
December 1, 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 October 30, 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:   October 30, 1998             By:  /s/ Lester L. Coleman
                                        -----------------------------
                                              Lester L. Coleman
                                              Executive Vice President and
                                              General Counsel







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                                 EXHIBIT INDEX



Exhibit                                                     Sequentially
Number                  Description                         Numbered Page

20                      Press Release of                    5 of 5
                        October 30, 1998
                        Incorporated by Reference









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FOR IMMEDIATE RELEASE           Contact: Guy T. Marcus
October 30, 1998                Vice President, Investor Relations
                                (214) 978-2691


                    HALLIBURTON 1998 FOURTH QUARTER DIVIDEND

        DALLAS, Texas -- Halliburton Company (NYSE:HAL) announced today that its
board of  directors  has declared a 1998 fourth  quarter  cash  dividend of 12.5
cents a share on the  company's  common  stock,  payable  December  22,  1998 to
shareholders of record at the close of business on December 1, 1998.
        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's  consolidated  revenues  were  $16.3
billion and it 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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