League commissioner Jim Delany said Monday that it is "inappropriate" to keep Paterno's name on the trophy that will be awarded Dec. 3 after the first Big Ten title game.
Penn State fired Paterno, its longtime head coach, last week and investigations are under way into allegations of child sex-abuse involving a former assistant for the Nittany Lions.
The trophy had been named the Stagg-Paterno Championship Trophy. Amos Alonzo Stagg won 319 games in 57 years, most at the University of Chicago. Paterno's 409 wins are the most by a major college coach.
The trophy will now be called the Stagg Championship Trophy.