<PAGE>
Strong Income Funds II, Inc.
(Registrant)
POWER OF ATTORNEY
Each person whose signature appears below, constitutes and appoints
Elizabeth N. Cohernour, Cathleen A. Ebacher and Susan A. Hollister, and each of
them, his or her true and lawful attorney-in-fact and agent with full power of
substitution and resubstitution, for him or her and in his or her name, place
and stead, in any and all capacities, to sign this Registration Statement on
Form N-1A, and any and all amendments thereto, and to file the same, with all
exhibits, and any other documents in connection therewith, with the Securities
and Exchange Commission and any other regulatory body granting unto said
attorney-in-fact and agent, full power and authority to do and perform each and
every act and thing requisite and necessary to be done, as fully to all intents
and purposes, as he or she might or could do in person, hereby ratifying and
confirming all that said attorney-in-fact and agent, or his or her substitute or
substitutes, may lawfully do or cause to be done by virtue hereof.
<TABLE>
<CAPTION>
Name Title Date
---- ----- -----
<S> <C> <C>
/s/ Elizabeth N. Cohernour
------------------------------------- Vice President and Secretary September 13, 2000
Elizabeth N. Cohernour
Chairman of the Board (Principal
/s/ Richard S. Strong Executive Officer) and a Director September 13, 2000
-------------------------------------
Richard S. Strong
/s/ John W. Widmer Treasurer (Principal Financial and
------------------------------------- Accounting Officer) September 13, 2000
John W. Widmer
/s/ Marvin E. Nevins Director September 13, 2000
-------------------------------------
Marvin E. Nevins
September 13, 2000
/s/ Willie D. Davis Director
-------------------------------------
Willie D. Davis
September 13, 2000
/s/ William F. Vogt Director
-------------------------------------
William F. Vogt
September 13, 2000
/s/ Stanley Kritzik Director
-------------------------------------
Stanley Kritzik
September 13, 2000
/s/ Neal Malicky Director
-------------------------------------
Neal Malicky
</TABLE>
