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 21, 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  21,  2004  registrant  issued  a  press  release  entitled
"Halliburton To Issue $500 Million of Senior Notes In A Private Offering."

         The text of the press release is as follows:

     HALLIBURTON TO ISSUE $500 MILLION OF SENIOR NOTES IN PRIVATE OFFERING

HOUSTON,  Texas -  Halliburton  (NYSE:HAL)  announced  today the  pricing  of an
offering of $500 million  aggregate  principal amount of senior notes to certain
institutional  investors in a transaction  that is exempt from the  registration
requirements of the Securities Act of 1933.

The company is selling $500  million  principal  amount of senior notes  bearing
interest  at a floating  rate of LIBOR  plus 75 basis  points  and  maturing  on
January 26, 2007. The floating rate notes will be redeemable,  at  Halliburton's
option, in whole or in part, on or after January 26, 2005 for an amount equal to
100% of the principal amount plus accrued and unpaid  interest.  The offering is
expected to close January 26, 2004.

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  memorandum.  The offering is being made within the
United States only to qualified  institutional buyers and to persons outside the
United States.  The senior notes have not been  registered  under the Securities
Act of 1933 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 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 and Engineering and Construction  Groups.  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 being unable to complete the proposed settlement of asbestos and silica
liabilities,   the  risks  of  having   material   subsidiaries  in  Chapter  11
proceedings, the risks of audits and investigations of the company by government
agencies,  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 or a delay in the
payment of such claims, future asbestos claims defense and settlement costs, the
risks of judgments  against the company and its subsidiaries in other litigation
and  proceedings,  including  shareholder  lawsuits,  securities laws inquiries,
contract disputes, patent infringements and environmental matters,  legislation,
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 as amended by Form 10-K/A filed on January 15, 2004, Form 10-Q
for the quarter ended September 30, 2003, and Form 8-K filed on October 28, 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:     January 21, 2004             By: /s/ Margaret E. Carriere
                                          ---------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary