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)

                                  JUNE 6, 2003

                               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  June  6,  2003,   registrant   issued  a  press  release   entitled
"Halliburton Updates Status of Proposed Global Settlement."

         The text of the press release is as follows:

            HALLIBURTON UPDATES STATUS OF PROPOSED GLOBAL SETTLEMENT


HOUSTON,  Texas -  Halliburton  (NYSE:  HAL)  today  updated  the  status of its
proposed global  settlement and expected timing of the related chapter 11 filing
by certain of its  subsidiaries.  Halliburton said that it is continuing its due
diligence  review of current  asbestos  claims to be  included  in its  proposed
global  settlement.   Halliburton   believes  it  has  now  received  supporting
information for more than half of the currently  outstanding  claims, and it has
reviewed  substantially all the information provided to date with respect to the
current claims.

Halliburton  said that  documentation  providing  evidence of medical  injury on
claims  reviewed to date should provide an acceptable  basis on which to proceed
with the global settlement.  The quantity and quality of documentation providing
evidence of product identification,  while not as complete or comprehensive, has
improved.  If the claimants'  attorneys  continue to provide  documentation on a
timely basis,  Halliburton  anticipates  that the due  diligence  review will be
completed  in July.  While no  assurance  can be given,  if the  current  trends
continue,  and if the new  data are  consistent  with the  recent  quantity  and
quality of data,  Halliburton  expects  that the  documentation  will provide an
acceptable basis to proceed with the global settlement.

Included in the next steps to complete the global  settlement  are  agreement on
the  procedures for  distribution  of settlement  funds to individuals  claiming
personal  injury  and  agreement  on a plan  of  reorganization  for KBR and DII
Industries  and the related  disclosure  statement.  The completion of the trust
distribution  procedures and the plan of reorganization and disclosure statement
incorporating  and  describing  the plan and procedures is taking more time than
originally  anticipated.  The company  cannot  predict  the exact  timing of the
completion of these steps, but Halliburton  expects that these  prerequisites to
making the chapter 11 filing will be  completed  on a timeline  that would allow
the chapter 11 filing to be made during the third quarter of 2003.

The Bankruptcy Court in the Harbison-Walker bankruptcy proceeding will conduct a
hearing on July 21,  2003 on whether  to extend the stay  originally  entered on
February 14, 2002 that stays more than 200,000  pending  asbestos  cases against
DII Industries.  Halliburton will ask that the stay be extended to allow time to
complete  the  plan  of  reorganization  and  related   documents,   to  solicit
acceptances  to the plan of  reorganization  and to make the  chapter 11 filing.
While Halliburton believes that the stay will be extended beyond the date of the
hearing,  no assurance can be given that the Asbestos Creditors Committee in the
Harbison-Walker  proceeding will support the company's  request for an extension
of the stay.



Halliburton further indicated that a number of other items are conditions to the
completion  of the global  settlement,  and that there can be no assurance  that
these  conditions will be satisfied.  These include  finalizing the terms of the
notes to be  contributed  to the  trust to be  established  for the  benefit  of
asbestos and silica personal injury claimants, arrangements of financing for the
global settlement,  Halliburton board approval,  obtaining  affirmative votes to
the plan of  reorganization  from at least 75 percent of known present  asbestos
claimants and from the requisite  number of silica  claimants needed to complete
the plan of reorganization,  and obtaining final and  non-appealable  bankruptcy
court  approval  and  federal  district  court   confirmation  of  the  plan  of
reorganization.

In addition,  Halliburton  continues to track legislative proposals for asbestos
reform pending in Congress.  In  determining  whether to proceed with the global
settlement,  Halliburton's board of directors will take into account the current
status of these legislative initiatives.

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 Group and Engineering and  Construction  Group business  segments.  The
company's World Wide Web site can be accessed at www.halliburton.com.

                                       ###

The  statements in this press  release that are not  historical  statements  are
forward-looking  statements  within the meaning of the federal  securities laws.
These  statements  are subject to numerous  risks and  uncertainties  beyond the
company's  control,  which could cause actual events to differ  materially  from
those  expressed  or implied by the  statements.  These risks and  uncertainties
include,  but are not limited to:  legal risks,  including  the  possibility  of
adverse rulings by courts of law or the institution of litigation or other legal
proceedings  challenging the company's actions or proposed  actions;  changes in
laws or  government  regulations  affecting  the  company's  actions or proposed
actions;  adverse political or public reaction as a result of scrutiny involving
the company;  and liquidity  risks,  including  the company's  ability to access
credit and raise  capital and the  availability  and costs of  financing  to the
company. Please see Halliburton's Form 10-K for the year ended December 31, 2002
and  Form  10-Q  for the  quarter  ended  March  31,  2003  for a more  complete
discussion of risk factors.



                                   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:     June 6, 2003                 By: /s/ Margaret E. Carriere
                                          ------------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary