Exhibit 24.1


                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Anne L. Armstrong
                                            ---------------------
                                            Anne L. Armstrong




                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ William E. Bradford
                                            -----------------------
                                            William E. Bradford






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Lord Clitheroe
                                            ------------------
                                            Lord Clitheroe





                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Robert L. Crandall
                                            ----------------------
                                            Robert L. Crandall





                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Charles J. DiBona
                                            ---------------------
                                            Charles J. DiBona






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Lawrence S. Eagleburger
                                            ---------------------------
                                            Lawrence S. Eagleburger






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ W. R. Howell
                                            ----------------
                                            W. R. Howell






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Ray L. Hunt
                                            ---------------
                                            Ray L. Hunt







                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Delano E. Lewis
                                            -------------------
                                            Delano E. Lewis






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ J. Landis Martin
                                            --------------------
                                            J. Landis Martin






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Jay A. Precourt
                                            -------------------
                                            Jay A. Precourt






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ C. J. Silas
                                            ---------------
                                            C. J. Silas






                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint Richard B. Cheney,  David
J. Lesar,  Lester L. Coleman,  Gary V. Morris and Susan S. Keith, or any of them
acting alone, my true and lawful  attorneys or attorney,  to do any and all acts
and things and execute any and all instruments  which said attorneys or attorney
may deem necessary or advisable to enable Halliburton Company to comply with the
Securities Act of 1933, as amended, and any rules,  regulations and requirements
of the Securities and Exchange Commission in respect thereof, in connection with
the filing of the Registration Statement on Form S-8, or other appropriate form,
under said  Securities  Act of 1933,  as amended,  with respect to shares of the
Common Stock of Halliburton Company, par value $2.50 per share, and related plan
interests to be sold and offered for sale under the Halliburton Savings Plan, as
amended,  including  specifically,  but without  limitation  thereof,  power and
authority to sign my name as Director of Halliburton Company to any registration
statements and  applications  and statements to be filed with the Securities and
Exchange Commission in respect of said shares of Common Stock and all amendments
thereto,  including without limitation post-effective amendments thereto, and to
any instruments or documents filed as a part of or in connection therewith;  and
I hereby  ratify and confirm  all that said  attorneys  or attorney  shall do or
cause to be done by virtue hereof.
         IN TESTIMONY HEREOF, witness my hand this the 15th day of July, 1999.

                                            /s/ Richard J. Stegemeier
                                            -------------------------
                                            Richard J. Stegemeier