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 28, 2001

                               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

                               3600 Lincoln Plaza
                             500 North Akard Street
                            Dallas, Texas 75201-3391
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 214/978-2600







                                        1
                       The Exhibit Index Appears on Page 4

INFORMATION TO BE INCLUDED IN REPORT Item 5. Other Events The registrant may, at its option, report under this item any events, with respect to which information is not otherwise called for by this form, that the registrant deems of importance to security holders. On June 28, 2001 registrant issued a press release entitled "Harbison-Walker Asks Halliburton For Assistance With Asbestos Claims" pertaining, among other things, to an announcement that Harbison-Walker Refractories Company ("Harbison"), formerly owned by registrant's subsidiary, Dresser Industries, Inc., ("Dresser") has requested that Dresser provide Harbison with claims management and financial assistance for asbestos claims Harbison assumed when it was spun-off from Dresser in 1992. The asbestos claims of both Harbison and Dresser are covered under a substantial insurance program. Consequently, Dresser has a substantial interest in the claims resolution and the most effective use of the insurance. In the 1992 spin-off Harbison and Dresser entered into an agreement allocating responsibility for asbestos claims related to the refractory business. Dresser agreed to retain claims filed prior to the spin-off with Harbison agreeing to assume claims filed after the spin-off and to indemnify and defend Dresser against those claims. Registrant is investigating Harbison's asbestos claims and the financial condition of Harbison and its affiliates. If registrant determines that Harbison is not able to adequately perform its obligations under the assumption agreement and that it is in registrant's best interest to do so, registrant may take the primary role for management and resolution of Harbison's claims. If such a decision is made, it would require an additional reserve for estimated known claims at June 30, 2001, net of insurance recoveries, of approximately $50 to 60 million, after-tax. This reserve would be recorded as a discontinued operations expense and be reduced by the contributions Harbison is capable of making toward the resolution of these claims. Any required expense associated with the asbestos issues and the previously announced gain on the sale of the DEG business segment of approximately $300 million after tax would be netted together and both be included in the total discontinued operations. Results from continuing operations will not be affected. Item 7. Financial Statements and Exhibits List below the financial statements, pro forma financial information and exhibits, if any, filed as part of this report. (c) Exhibits. Exhibit 20 - Press release dated June 28, 2001. 2 The Exhibit Index Appears on Page 4

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 29, 2001 By: /s/ Susan S. Keith ---------------------------------- Susan S. Keith Vice President and Secretary 3 The Exhibit Index Appears on Page 4

EXHIBIT INDEX Exhibit Description 20 Press Release Dated June 28, 2001 Incorporated by Reference 4


FOR IMMEDIATE RELEASE               Contact: Guy T. Marcus
06/28/01                                     Vice President-Investor Relations
                                             214/978-2691

                 HARBISON-WALKER ASKS HALLIBURTON FOR ASSISTANCE
                              WITH ASBESTOS CLAIMS

     DALLAS,  Texas --  Halliburton  Company  (NYSE:HAL)  today  announced  that
Harbison-Walker   Refractories  Company   ("Harbison"),   formerly  owned  by  a
Halliburton subsidiary, Dresser Industries, Inc. ("Dresser"), has requested that
Dresser  provide  Harbison with claims  management and financial  assistance for
asbestos claims Harbison assumed when it was spun-off from Dresser in 1992.

     Many of these  Harbison  claims are  asserted  in  lawsuits  that also name
Dresser as a defendant and Harbison is, in effect, co-insured with Dresser under
a  substantial  insurance  program that covers  these claims and other  asbestos
claims  against  Dresser.  Consequently,  Dresser has a substantial  interest in
their resolution and the most effective use of this insurance.

     In 1967 Dresser acquired Harbison's refractory  manufacturing  business and
operated it as a division.  In 1992 the  refractory  business and other non-core
Dresser businesses were placed in a new subsidiary, Indresco, Inc., and spun-off
to Dresser's shareholders.  Indresco's name was later changed to Harbison-Walker
Refractories  Company.  Harbison  is now a  subsidiary  of RHI AG,  an  Austrian
company.

     In  conjunction  with the 1992  spin-off,  Dresser and Harbison  entered an
agreement  which  allocated  between them  responsibility  for  asbestos  claims
related to the refractory business.  Dresser agreed to retain claims filed prior
to the spin-off.  Harbison  agreed to assume claims filed after the spin-off and
to indemnify and defend Dresser against those claims.

     Halliburton is now investigating  Harbison's asbestos claims, including the
status of various completed and proposed settlements and, open unsettled claims,
and the financial condition of Harbison and its affiliates. Based on information
received,  Halliburton  believes that Harbison now has about 165,000 open claims
of which approximately 52,000 are subject to various settlement  negotiations or
agreements.  These  claims  have not been  previously  reported  by  Halliburton



                                     -more-

Halliburton Company page 2 because of Harbison's agreement to assume full responsibility for these claims and to indemnify and defend Dresser against them. If Halliburton determines that Harbison is not able to perform adequately its obligations under the assumption agreement and that it is in Halliburton's best interest to do so, Halliburton may take the primary role for management and resolution of Harbison's claims. A decision in this regard is expected in the next several weeks. Based on the information it has developed to date and its own experience in managing asbestos claims, Halliburton believes that if such a decision is made it would require an additional reserve for estimated known claims at June 30, 2001, net of insurance recoveries, of approximately $50 to $60 million, after-tax. This reserve would be recorded as a discontinued operations expense and be reduced by the contributions Harbison is capable of making toward the resolution of these claims. As previously announced, Halliburton will report a gain on the sale of the DEG Business Segment of approximately $300 million after tax. This gain and any required expense associated with the asbestos issues above would be netted together and both be included in the total discontinued operations. Results from continuing operations will not be affected. "This is an unexpected development", said Dave Lesar, Chairman, President and CEO of Halliburton. "Although Harbison reaffirmed its responsibility for these claims as recently as last year, it appears that it may be in our best interest to step in and protect our shareholders." Halliburton Company, founded in 1919, is the world's largest provider 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. ###