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)

                                 March 19, 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 5.  Other Events.

         We were  informed via  correspondence  from the  Department of the Army
dated  March 12 and 18,  2004 that they will  begin  withholding  payment  on 15
percent of undefinitized  task order invoices  related to services  performed by
our  subcontractors  under our LogCAP contract beginning April 30, 2004. Whether
the Federal Acquisition Regulation allows the Department of the Army to withhold
these amounts is complex and subject to interpretation.  While we do not believe
our LogCAP  contract is subject to these  provisions  and are  working  with our
customer to address this issue,  we will adjust our applicable  invoices for the
15 percent withholding beginning April 30, 2004 until the definitization process
is completed,  which we believe will be concluded in a matter of months.  To the
extent we are subject to the 15 percent  withholding,  we will withhold  similar
amounts from our  subcontractors'  invoices to us. As a result, we do not expect
this to have a significant or sustained impact on our liquidity.  The Department
of the Army has also informed us that they may postpone the implementation  date
for another 30 days pending further review.

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:     March 19, 2004               By: /s/ Margaret E. Cariere
                                          ----------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary