


                                                             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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

                                  /s/ Dale P. Jones
                                  --------------------
                                      Dale P. Jones




<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

                              /s/ Roger T. Staubach
                              -----------------------
                                  Roger T. Staubach



<PAGE>


                                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  Profit Sharing
and Savings Plan and the Brown & Root,  Inc.  Employees'  Retirement and Savings
Plan, both 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 29th day of May, 1998.

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



<PAGE>


                                POWER OF ATTORNEY


         KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned,  a Director of
Halliburton  Company, do hereby constitute and appoint 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  Profit  Sharing and Savings
Plan and the Brown & Root, Inc. Employees'  Retirement and Savings Plan, both 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 29th day of May, 1998.

                              /s/ Richard B. Cheney
                              -----------------------
                                  Richard B. Cheney



