<PAGE>
 
                                                                      EXHIBIT 24


                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.




                                                MARK ANDREWS
                                       -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                             W. MICHAEL BLUMENTHAL
                                       -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                          M. KATHRYN EICKHOFF  
                                    -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                            PETER T. FLAWN     
                                    -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                             HENRY U. HARRIS, JR.
                                       -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                            BELTON K. JOHNSON   
                                     -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                              JOHN B. McCOY    
                                     -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                               JOSEPH J. SISCO
                                       -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                             WILLIAM L. WEISS
                                      -------------------------------
<PAGE>
 
                                 TENNECO INC.

                               POWER OF ATTORNEY

                    TENNECO INC. ANNUAL REPORT ON FORM 10-K



     The undersigned, in his capacity as a Director of Tenneco Inc., does hereby
appoint T. R. Tetzlaff, M. W. Meyer and K. A. Stewart, and each of them,
severally, his true and lawful attorneys, or attorney, to execute in his name,
place and stead, in his capacity as a Director of said Company, an Annual Report
on Form 10-K for the fiscal year ended December 31, 1995, and any and all
amendments and post-effective amendments to said Annual Report, and all
instruments necessary or incidental in connection therewith, and to file the
same with the Securities and Exchange Commission.  Each of said attorneys shall
have the power to act hereunder with or without the other of said attorneys and
shall have full power and authority to do and perform, in the name and on behalf
of the undersigned, in any and all capacities, every act whatsoever requisite or
necessary to be done in the premises, as fully and to all intents and purposes
as the undersigned might or could do in person, the undersigned hereby ratifying
and approving the acts of said attorneys and each of them.

     IN TESTIMONY WHEREOF, the undersigned has executed this instrument this
14th day of February, A.D. 1996.



                                          CLIFTON R. WHARTON, JR.
                                      -------------------------------