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)

                                NOVEMBER 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  November  19,  1998  registrant  issued  a press  release  entitled
Halliburton $150 Million Notes Offering  pertaining,  among other things,  to an
announcement  that an offering of $150 million  principal amount of registrant's
5.625 percent  notes due December 1, 2008 under  registrant's  medium-term  note
program was issued  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  registrant's  general  funds  and used for  general
corporate  purposes,  which may include  repayment of short-term  debt and other
corporate obligations.

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 November 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:    November 25, 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
                           November 19, 1998
                           Incorporated by Reference




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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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