<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, 1995, 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 19th day
of January, 1996.
 
                                                     Robert E. Allen
                                          --------------------------------------
                                                     ROBERT E. ALLEN
<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, 1995, 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 19th day
of January, 1996.
 
                                                    Joseph A. Califano
                                          --------------------------------------
                                                    JOSEPH A. CALIFANO
<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, 1995, 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 19th day
of January, 1996.
 
                                                    Thomas G. Denomme
                                          --------------------------------------
                                                    THOMAS G. DENOMME
<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, 1995, 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 19th day
of January, 1996.
 
                                                     Robert J. Eaton
                                          --------------------------------------
                                                     ROBERT J. EATON
<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, 1995, 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 19th day
of January, 1996.
 
                                                      Earl G. Graves
                                          --------------------------------------
                                                      EARL G. GRAVES
<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, 1995, 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 19th day
of January, 1996.
 
                                                        Kent Kresa
                                          --------------------------------------
                                                        KENT KRESA
<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, 1995, 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 19th day
of January, 1996.
 
                                                    Robert J. Lanigan
                                          --------------------------------------
                                                    ROBERT J. LANIGAN
<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, 1995, 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 19th day
of January, 1996.
 
                                                      Robert A. Lutz
                                          --------------------------------------
                                                      ROBERT A. LUTZ
<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, 1995, 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 19th day
of January, 1996.
 
                                                     Peter A. Magowan
                                          --------------------------------------
                                                     PETER A. MAGOWAN
<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, 1995, 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 19th day
of January, 1996.
 
                                                    Malcolm T. Stamper
                                          --------------------------------------
                                                    MALCOLM T. STAMPER
<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, 1995, 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 19th day
of January, 1996.
 
                                                     Lynton R. Wilson
                                          --------------------------------------
                                                     LYNTON R. WILSON
<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, 1995, 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 19th day
of January, 1996.
 
                                                    Lilyan H. Affinito
                                          --------------------------------------
                                                    LILYAN H. AFFINITO