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 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






                                Page 1 of 5 Pages
                       The Exhibit Index Appears on Page 4


         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  30,  1998  registrant  issued  a press  release  entitled
Halliburton  Completes Debt Tender Offer  pertaining,  among other things, to an
announcement that registrant's subsidiary,  Dresser Industries, Inc.'s Change of
Control  Offer to purchase  for cash at 101 percent of  principal  amount,  plus
accrued  interest,  of all of the outstanding 8 percent  guaranteed senior notes
due 2003 of Baroid  Corporation  expired  at 5:00 PM  Eastern  Standard  Time on
Monday,  November  30,  1998.  At that time,  an  aggregate  of  $10,935,000  in
principal  amount of the  $150,000,000  of notes  outstanding had been tendered.
Under the terms of the offer,  the  tendered  notes may be withdrawn at any time
prior to 5:00 PM, Central Standard Time, on December 10, 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 November 30, 1998.






                                Page 2 of 5 Pages
                       The Exhibit Index Appears on Page 4



                                   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:    December 4, 1998         By:  /s/  Susan S. Keith
                                     -------------------------------
                                            Susan S. Keith
                                            Vice President and Secretary






                                Page 3 of 5 Pages
                       The Exhibit Index Appears on Page 4



                                  EXHIBIT INDEX

Exhibit                                                       Sequentially
Number                     Description                        Numbered Page

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







                                Page 4 of 5 Pages
                       The Exhibit Index Appears on Page 4


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


                     HALLIBURTON COMPLETES DEBT TENDER OFFER


         DALLAS,  Texas - Dresser Industries,  Inc., a subsidiary of Halliburton
Company (NYSE:HAL), announced today that its Change of Control Offer to purchase
for cash at 101 percent of principal amount,  plus accrued  interest,  of all of
the outstanding 8 percent guaranteed senior notes due 2003 of Baroid Corporation
expired at 5:00 PM Eastern  Standard Time on Monday,  November 30, 1998. At that
time, an aggregate of $10,935,000  in principal  amount of the  $150,000,000  of
notes outstanding had been tendered.  Under the terms of the offer, the tendered
notes may be withdrawn at any time prior to 5:00 PM,  Central  Standard Time, on
December 10, 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 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.


                                      ###
                                Page 5 of 5 Pages
                       The Exhibit Index Appears on Page 4