Finnegan was sanctioned Thursday for a helmet-to-helmet hit and an unnecessary roughness penalty for spearing Schaub on the same series during Tennessee's 13-12 loss to the Texans on Sunday.
Finnegan is tied for second in the NFL with five interceptions.
Finnegan was selected to his first Pro Bowl this week and is known for his aggressive play, but Titans coach Jeff Fisher defended his cornerback saying that both calls were questionable.
Finnegan told The Tennessean he planned to appeal the fine.
Manuel Fernandes Acquitted Of Glassing Policeman
La Liga Preview: Racing Santander – Deportivo La Coruña
Texans’ Schaub still recovering from knee injury