POWER OF ATTORNEY

I, Jan H. Suwinski, of 349 Sage Hall, Ithaca, NY 14853, hereby appoint James M.
Sheehan of 1415 West Diehl Road, Naperville, Illinois 60563, or Wendy S.
Jennings of 1465 N. McDowell Blvd., Petaluma, California 94954, as
attorney-in-fact to act for me and in my name for the purpose of completing,
signing and filing, in my name and on my behalf, any of the following forms
pursuant to the terms of Securities Exchange Act of 1934 and the Securities Act
of 1933:

        Form 3 - Initial Statement of Beneficial Ownership of Securities

         Form 4 - Statement of Changes of Beneficial Ownership of Securities

        Form 5 - Annual Statement of Beneficial Ownership of Securities

        Form 144 - Notice of Proposed Sale of Securities

This power shall become effective on January 3, 2005, and shall continue in
effect until terminated in writing by me or until either of my attorneys-in-fact
shall die, become legally disabled, terminate their employment with Tellabs,
Inc. or its subsidiaries for any reason, resign or refuse to act.

I am fully informed as to all the contents of this form and understand the full
import of this grant of powers to either of my attorneys-in-fact.

This Power of Attorney shall supersede any previously granted power related to
the subject matter herein.

/s/ Jan H. Suwinski
- -----------------------
Jan H. Suwinski

State of Illinois       )
                        )SS
County of Kane          )


NOTARY

The undersigned, a notary public in and for the above county and state, this
19th day of January 2005, certifies that Jan H. Suwinski, known to me to be the
same person whose name is subscribed to the foregoing Power of Attorney,
appeared before me in person and acknowledged signing and delivering said
document as his/her free and voluntary act, for the uses and purposes therein
set forth.

/s/ Mary T. McShane
- -----------------------
Notary Public