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 23, 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  23,  2004  registrant  issued  a  press  release  entitled
"Halliburton  Credits  Government  $6.3 million for Potential Over billing until
investigation complete."

         The text of the press release is as follows:

                 Halliburton Credits Government $6.3 million for
               Potential Over billing until investigation complete


  Company says: "We reported it immediately and we are cutting a check to the
  government just in case the over billing charge bears out. We will bear the
                 cost of the overcharge - not the government."

HOUSTON,  Texas - Halliburton  announced today that it has issued a check in the
amount of $6.3 million to their customer,  the Army Materiel  Command,  to cover
potential over billing charges by a  subcontractor  on the LOGCAP contract until
its investigation of the situation is complete.

"We will bear the cost of the potential  overcharge - not the government," said
Randy  Harl,  president  and CEO,  KBR.

Halliburton  credits  "strong  internal  detective  work"  in the  discovery  of
possible overcharges by a Kuwaiti  subcontractor and improper payments to one or
two former  KBR  employees.  The  company  reported  the  irregularities  to the
Pentagon's Inspector General last week.

"We have  diligent  internal  controls and a strong  corporate  Code of Business
Conduct,"  said Harl.  "We have a  fiduciary  responsibility  to our  clients to
carefully  monitor  every  transaction.  I am  extremely  proud  of the work the
auditors did in this particular case."

Halliburton  officials  said the company  employs 54 auditors,  who  continually
audit financial aspects of the company operations.  In addition, the company has
300 warranted procurement specialists supporting its government business.

"There are many check points within the system," said Harl.  "Our people operate
like forensic auditors.  If there is a problem with an invoice, a contract or an
agreement,  they will find it. In this  case,  once they  found the  problem  an
internal investigation started immediately."

For more than 60 years,  during both  Democrat and  Republican  administrations,
Halliburton  has a record of service to the  defense  to the United  States.  We
built war ships for the Navy in World War II,  and we have  supported  troops in
Somalia,  Rwanda Haiti, the Balkans and  Afghanistan.  In the first Gulf War, we
helped bring under control half the oil wells in Kuwait.  Halliburton  employees
are prepared to meet the  challenge  regardless  of the  difficulties  and risks
involved.

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.

                                       ###


                                   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 23, 2004                  By: /s/ Michael A. Weberpal
                                               -------------------------------
                                                    Michael A. Weberpal
                                                    Assistant Secretary and
                                                    Assistant General Counsel