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 23, 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  23,  2003,   registrant   issued  a  press  release  entitled
"Halliburton Announces Offering of Convertible Senior Notes."

         The text of the press release is as follows:

         HALLIBURTON ANNOUNCES OFFERING OF CONVERTIBLE SENIOR NOTES


HOUSTON, Texas - Halliburton (NYSE:HAL) announced today that it intends to offer
$1  billion  of  convertible  senior  notes  through an  offering  to  qualified
institutional  buyers pursuant to Rule 144A under the Securities Act of 1933, as
amended (the "Securities Act").

The notes are  expected  to have a term of 20 years  and may be  convertible  if
certain  conditions are met (and the company elects not to retire the notes with
cash) into Halliburton common stock, at a price to be determined by negotiations
between  Halliburton and the initial  purchasers of the notes.  The terms of the
offering are expected to include an option exercisable by the initial purchasers
to purchase up to an  additional  $200  million  aggregate  principal  amount of
notes.

This press release does not constitute an offer to sell or the  solicitation  of
an offer to buy securities.  The offering is being made within the United States
only to  qualified  institutional  buyers.  The  convertible  senior notes being
offered  have not been  registered  under the  United  States  federal  or state
securities  laws and may not be  offered  or sold in the  United  States  absent
registration or an applicable exemption from the registration requirements.

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.

                                       ###

NOTE: The  statements in this press release that are not historical  statements,
including statements regarding future financial performance, are forward-looking
statements  within the meaning of the federal  securities laws. These statements
are subject to numerous  risks and  uncertainties,  many of which are beyond the
Company's  control,  which could cause actual  results of  operations  to differ
materially from the results expressed or implied by the statements.  These risks
and uncertainties  include,  but are not limited to: legal risks,  including the
risks of  judgments  against the  Company's  subsidiaries  and  predecessors  in
asbestos  litigation  pending and currently on appeal, the inability of insurers
for  asbestos  exposures  to pay  claims;  future  asbestos  claims  defense and
settlement  costs,  other  litigation  and  proceedings,  including  shareholder
lawsuits, securities laws inquiries, contract disputes, patent infringements and
environmental matters, changes in government regulations and adverse reaction to
scrutiny  involving  the  Company;  political  risks,  including  the  risks  of
unsettled  political  conditions,  war and the  effects  of  terrorism,  foreign
operations and foreign exchange rates and controls;  liquidity risks,  including
the  risks  of  potential   reductions  in  debt  ratings,   access  to  credit,
availability   and  costs  of   financing   and   ability   to  raise   capital;
weather-related risks; customer risks, including the risks of changes in capital
spending and claims negotiations; industry risks, including the risks of changes
that affect the demand for or price of oil and/or gas, structural changes in the
industries in which the Company operates,  risks of fixed-fee projects and risks
of  complex  business  arrangements;  systems  risks,  including  the  risks  of
successful  development and installation of financial systems; and personnel and
merger/reorganization/disposition   risks,  including  the  risks  of  increased
competition  for  employees,  successful  integration  of  acquired  businesses,
effective   restructuring   efforts  and   successful   completion   of  planned
dispositions. 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 such 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 23, 2003                By: /s/ Margaret E. Carriere
                                          ---------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary