



                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 11 day of April, 1997.

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



<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 7th day of April, 1997.

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




                                  
<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 8th day of April, 1997.

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




                                  
<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 8th day of April, 1997.

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



<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 4th day of April, 1997.

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


<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 11th day of April, 1997.

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



<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 8th day of April, 1997.

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


<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 7 day of April, 1997.

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


<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 8th day of April, 1997.

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


<PAGE>


                                                                      EXHIBIT 24

                           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 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  registration
under said Securities Act of 1933, as amended,  of shares of the Common Stock of
Halliburton  Company, par value $2.50 per share, to be sold and offered for sale
pursuant to the terms of the Landmark  Graphics  Corporation 1987  Non-Qualified
Stock Option Plan,  Landmark  Graphics  Corporation  1989 Flexible  Stock Option
Plan,  The  Directors'  Stock  Option  Plan of  Landmark  Graphics  Corporation,
Landmark Graphics Corporation  Consultants' Stock Option Plan, Landmark Graphics
Corporation  1990 Employee Stock Option Plan and Landmark  Graphics  Corporation
1994 Flexible Incentive 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 9th day of April, 1997.

                                                      /s/ E. L. Williamson
                                                      ---------------------
                                                        E. L. Williamson



