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)

                                January 28, 2004

                               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


                            1401 McKinney, Suite 2400
                              Houston, Texas 77010
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 713-759-2600



         INFORMATION TO BE INCLUDED IN REPORT

Item 9.  Regulation FD Disclosure

         On January 28, 2004 registrant issued a press release entitled "Equitas
and Halliburton Settle Asbestos Insurance Claims."

         The text of the press release is as follows:


                           EQUITAS AND HALLIBURTON
                        SETTLE ASBESTOS INSURANCE CLAIMS


         LONDON and HOUSTON,  Texas,  28 January 2004 - Equitas and  Halliburton
Company  (NYSE:  HAL)  announced  today that they have  reached a  comprehensive
agreement to settle Halliburton's  insurance claims against certain Underwriters
at Lloyd's of London,  reinsured  by Equitas,  as a result of which  Halliburton
will be paid $575  million.  The  settlement  will resolve all  asbestos-related
claims  made  against  Lloyd's  Underwriters  by  Halliburton  and  by  each  of
Halliburton's  subsidiary and affiliated  companies,  including DII  Industries,
Kellogg  Brown  &  Root  and  others  that  have  filed  chapter  11  bankruptcy
proceedings as part of Halliburton's global asbestos  settlement.  Halliburton's
claims  against its London  Market  Company  Insurers  are not  affected by this
settlement.
         Provided that there is final  confirmation  of the  bankruptcy  plan of
reorganisation  for DII Industries and the other  Halliburton  affiliates now in
bankruptcy  and no U.S.  federal  asbestos  reform  legislation is passed in the
current  Congress,  Halliburton  will  be paid a total  of $575  million  in two
payments of $500 million and $75 million (18 months later).  The payment will be
made on the  later  of  January  5,  2005 or at the same  time as DII and  other
Halliburton  affiliates  will be obligated to pay asbestos  claimants as part of
Halliburton's global asbestos settlement.
         Simon  Wright, Equitas' Head  of Asbestos  Pollution and  Health Hazard
Claims, said: "The settlement with Halliburton caps what is, by far, the largest
single direct  liability faced by Equitas.  This major settlement is yet another
example  of  Equitas'   commitment   to   resolving   claims  with  all  Lloyd's
policyholders  as  expeditiously  as is reasonably  possible and at fair values.
Both we and Halliburton  will continue to review the underlying  asbestos claims
that  will  be  paid  on   confirmation  of  the  bankruptcy  plan  as  part  of
Halliburton's global asbestos settlement."
         With completion of this  settlement,  Equitas has now resolved 5 of its
10 largest asbestos exposures.  Glenn Brace, Equitas' Claims Director, said: "We
were able to settle them after  tough  negotiations  in which both sides  looked



very carefully at their assets and liabilities  before  settlement was reached."
Brace added, "We have had some of the most sophisticated businesses in the world
on the other side of the  negotiation  table.  We are  willing  to have  similar
discussions with any of our  policyholders,  large or small, so long as they are
sincerely interested in reaching a realistic settlement."

          "This settlement  demonstrates the strength and scope of our insurance
asset," said Dave Lesar,  Halliburton  Chairman,  President and Chief  Executive
Officer.  "Even  with  this  settlement  we do not  foresee a  reduction  in our
insurance  receivable.  We are very pleased  that this portion of our  insurance
asset has recognized the potential risk of our claims and moved in a responsible
manner to resolve them. We hope other insurers will respond in a similar manner,
so that those who will  benefit  from the Trust will be able to receive  payment
and move forward with their lives."


Notes to Editors:

EQUITAS

         Equitas,  based in London,  was established to reinsure and run-off the
1992 and prior years' non-life liabilities of Names, or Underwriters, at Lloyd's
of London.  Equitas  actively  manages the  non-life  liabilities  arising  from
policies  written by Lloyd's  syndicates in 1992 and prior years.  This includes
agreeing comprehensive  settlements and policy buy-backs that extinguish current
and future claims from these policyholders.


Jon Nash, Equitas Communications
         Telephone...........................               +44 (0)207 342 2414
         Mobile..............................               +44 (0)7801 810 342
         E-mail..............................            jon.nash@equitas.co.uk

William Clutterbuck, The Maitland Consultancy
         Telephone...........................               +44 (0)207 379 5151
         Mobile .............................               +44 (0)7785 292 617
         E-mail..............................       wclutterbuck@maitland.co.uk

Steven Bruce / Ed Rowley, The Abernathy MacGregor Group
Telephone....................................                      212-371-5999
Mobile.......................................       917-860-2657 / 917-509-0276
Email........................................      sb@abmac.com / emr@abmac.com



HALLIBURTON

Halliburton,  founded  in  1919,  is one of the  world's  largest  providers  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 and Engineering and Construction  Groups.  The Company's World Wide Web
site can be accessed at www.halliburton.com.


Cedric Burgher
cedric.burgher@halliburton.com
Halliburton, Investor Relations
(p) 713.759.2688

Wendy Hall
wendy.hall@halliburton.com
Halliburton, Public Relations
(p) 713.759.2605




   This release contains forward-looking statements as defined in Section 21E of
the Securities Exchange Act of 1934,  including statements about future business
operations,  financial  performance and market conditions.  Such forward-looking
statements  involve risks and  uncertainties  inherent in business  forecasts as
further described in our filings under the Securities Exchange Act.


                                      # # #



                                   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:     January 29, 2004                  By: /s/ Margaret E. Carriere
                                               ---------------------------------
                                                    Margaret E. Carriere
                                                    Vice President and Secretary