<PAGE>   1
                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set her hand as of the
23rd day of January, 1998.

                                                   Lilyan H. Affinito
                                             --------------------------------
                                                   LILYAN H. AFFINITO

<PAGE>   2
                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.

                                                   James D. Aljian
                                             --------------------------------
                                                   JAMES D. ALJIAN


<PAGE>   3
                                                                      EXHIBIT 24


                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                   Robert E. Allen
                                           --------------------------------
                                                   ROBERT E. ALLEN

<PAGE>   4

                                                                      EXHIBIT 24


                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                  Joseph A. Califano, Jr.
                                             --------------------------------
                                                  JOSEPH A. CALIFANO, JR.


<PAGE>   5
                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                     Robert J. Eaton
                                             --------------------------------
                                                     ROBERT J. EATON


<PAGE>   6
                                                                      EXHIBIT 24


                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                   Earl G. Graves
                                             --------------------------------
                                                   EARL G. GRAVES


<PAGE>   7
                                                                      EXHIBIT 24



                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the 
23rd day of January, 1998.


                                                        Kent Kresa
                                             --------------------------------
                                                        KENT KRESA


<PAGE>   8
                                                                      EXHIBIT 24



                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.
     
        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                   Robert J. Lanigan
                                             --------------------------------
                                                   ROBERT J. LANIGAN


<PAGE>   9
                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                      Robert A. Lutz
                                             --------------------------------
                                                      ROBERT A. LUTZ


<PAGE>   10
                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                     Peter A. Magowan
                                             --------------------------------
                                                     PETER A. MAGOWAN


<PAGE>   11
                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                       John B. Neff
                                             --------------------------------
                                                       JOHN B. NEFF

<PAGE>   12

                                                                      EXHIBIT 24




                               POWER OF ATTORNEY


        KNOW ALL MEN BY THESE PRESENTS, that the undersigned director and/or
officer of Chrysler Corporation hereby constitutes and appoints WILLIAM J.
O'BRIEN, R. D. HOUTMAN and HOLLY E. LEESE or any one or more of them, to be his
agent, proxy and attorney-in-fact, to sign and execute in his name, place and
stead and on his behalf, and to file with the Securities and Exchange
Commission pursuant to the Securities Act of 1934, as amended, the Form 10-K
Annual Report of Chrysler Corporation for the fiscal year ended December 31,
1997, and any and all amendments to such Annual Report that may be necessary or
desirable; hereby approving, ratifying and confirming all that the aforesaid
agents, proxies and attorneys-in-fact or any one of them do on his behalf
pursuant to this power.

        IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of the
23rd day of January, 1998.


                                                   Lynton R. Wilson
                                             --------------------------------
                                                   LYNTON R. WILSON