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 24, 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  24,  2003,   registrant   issued  a  press  release  entitled
"Halliburton Prices Convertible Senior Notes."

         The text of the press release is as follows:

                   HALLIBURTON PRICES CONVERTIBLE SENIOR NOTES

HOUSTON,  Texas -  Halliburton  (NYSE:HAL)  announced  today the pricing of $1.0
billion principal amount of convertible senior unsecured notes due July 15, 2023
which were offered to qualified institutional buyers pursuant to Rule 144A under
the Securities Act of 1933, as amended (the  "Securities  Act"). The company has
granted the initial  purchasers  the option to  purchase up to  additional  $200
million of convertible notes.

Each $1,000 principal amount will be convertible,  at the holder's option,  into
26.5583 shares of common stock of Halliburton  which represents a 65% conversion
premium  based on the closing  price of $22.82 on June 24, 2003.  The notes will
pay a cash interest rate of 3.125% per annum. Also, beginning July 15, 2008, the
company may redeem any of the convertible  notes at 100 percent of the principal
amount redeemed plus accrued and unpaid interest.  In addition,  noteholders may
require the company to redeem the notes on July 15 of 2008,  2013 and 2018 or in
the event of certain  fundamental changes at 100 percent of the principal amount
redeemed plus accrued and unpaid interest.

This press release does not constitute an offer to sell or the  solicitation  of
an offer to buy securities.  Any offer of these  securities will be made only by
means of a private  offering  circular.  The  offering  is being made within the
United States only to qualified  institutional  buyers.  The convertible  senior
notes being offered and the shares of common stock of Halliburton  issuable upon
conversion of the notes have not been registered under the United States federal
or state  securities laws and may not be offered or sold in the United States or
to  U.S.  persons  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 25, 2003                By: /s/ Margaret E. Carriere
                                          ----------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary