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 4, 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

                       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 4, 2001, Landmark Graphics Corporation, a wholly owned business unit of registrant, issued a press release entitled "GrandBasin -- Newly Established as a Landmark Graphics Company -- Delivers "Proof Point" for its Application and Data Service Provider Offerings" pertaining, among other things, to an announcement that GrandBasin is now a Landmark company. 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 4, 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 6, 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 4, 2001 Incorporated by Reference 4

               Landmark Graphics Corporation       For Immediate Release
               15150 Memorial Drive                June 4, 2001
               Houston, Texas 77079-4304

               Rod Hotz                            Wendy Hall
               Landmark Graphics Corporation       Halliburton Company
               Tel 281.368.5766 (U.S.)             Tel 713.676.5227
               Fax 281.560.1586                    Fax 713.676.5529


      - New technology capabilities to be demonstrated in the "real world"
                         at the AAPG Annual Symposium -

Dallas, Texas - Landmark Graphics  Corporation,  a wholly owned business unit of
Halliburton  Company  (NYSE:  HAL),  today  announced  that  GrandBasin is now a
Landmark company.  GrandBasin will operate with a high-degree of independence in
its business operations.
     "GrandBasin  is going to change the way the E&P industry  works by enabling
knowledge workers to access the applications,  data and information they need in
real time," added Dave Lesar, chairman, president and CEO of Halliburton.  "This
has the  potential  to  dramatically  reduce  operating  costs while  increasing
performance and profitability.  With the full complement of innovative  Landmark
technologies  supporting  them, as well as the freedom and  flexibility  to host
other  third-party  technologies,  we  believe  that  GrandBasin,  as a Landmark
company, can provide the market's most flexible and complete customer solution."
     "At Landmark,  we are committed to being the  real-time  knowledge  service
company within the upstream industry," stated John Gibson,  president and CEO of
Landmark.  "GrandBasin  will  play a key role as a vendor  neutral  provider  in
helping our  customers  gain the  benefits  of  real-time  knowledge  management
through the utilization of virtual applications,  data and other information via
ASP (Application Service Provider) or DSP (Data Service Provider) delivery."

                                    - more -

GRANDBASIN\2 "You've seen a flurry of activities around GrandBasin in recent months, and we're signaling the market to watch this space for even more to come. We believe the industry is ready for a single-source, full-service provider of Web-enabled applications, data and information," Gibson continued. "By providing E&P customers with the ability to utilize the latest-industry-leading applications of their choice - regardless of the vendor - in conjunction with the leading data management technology and service offerings, GrandBasin is giving customers the freedom to perform at their peak in a higher-return, low-overhead compute environment. It's a significant phase shift in technology delivery, and early adopters stand to gain the most from it." As a proof point for its ability to deliver a range of Web-enabled technologies, GrandBasin will be demonstrating the power and viability of its ASP hosting solutions and services at the Annual AAPG Symposium being held in Denver June 3-6, 2001. Applications being demonstrated at the event will, for the first time, be powered by GrandBasin servers based in Houston and accessed via commercially available networks. "We believe this is an industry first at a major event like AAPG," stated John Willis, executive vice president of ASP Solutions for GrandBasin. "It shows that GrandBasin is not just talking about hosting high-powered E&P applications in the future, but we're delivering it today with no performance loss, and in most cases, significant and measurable performance gains. We have the technology, the consulting expertise and the backing of the industry's leading technology vendor and alliance partners standing behind our efforts, and our customers need to feel secure in the knowledge that this really works - and it works well." Arvid Qvanvik, executive vice president for the GrandBasin DSP Solutions area - now called PetroBank(TM) - agrees and adds, "Customers are increasingly looking for ways to enhance their business performance but are unsure how to accomplish it. Our demonstrations at AAPG will prove that the e-enabled business world has arrived, and E&P knowledge workers can benefit from anywhere, anytime access to the applications, data and information they need to make informed - more -

GRANDBASIN\3 decisions in real time. At the same time, they are able to look for ways to reduce their infrastructure overhead, improve performance, reduce downtime and eliminate workflow inefficiencies. GrandBasin now has the industry-proven solutions and services to help customers achieve those goals today in a flexible and open way." GrandBasin is the leading edge ASP, DSP, virtual workspace service provider for the upstream industry, delivering anywhere, anytime access to the latest analytical, and knowledge management tools in highly flexible customer-driven configurations. GrandBasin offerings include real-time access to Web-based applications and hosting services and the PetroBank family of comprehensive data management technologies and integration services. The flexibility and openness of the GrandBasin business model enables customers to configure a Web-enabled technology and service solution that's right for them in order to reach their peak performance. GrandBasin, a Landmark company, is headquartered in Houston, Texas. Additional information can be found at Landmark is the leading supplier of integrated E&P technical and economic software solutions, cost-effective Web-based data and application hosting, as well as consulting solutions and services to support decision making in finding, drilling and producing oil and gas. Knowledge-based E&P companies are partnering with Landmark to achieve higher levels of technical-to-business (T2B(TM)) process integration in order to better understand risk management and improve their returns on investment. Visit the Landmark Web site at for more information. 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 ### Landmark, the Landmark logo, PetroBank and T2B are trademarks or registered trademarks of Landmark Graphics Corp.