Clausen was concussed during Sunday's game against the Lions but did not immediately exhibit any symptoms, the team said. He experienced symptoms later and alerted team personnel.
On Monday, the team announced that Clausen would be unable to play in Chicago's finale.
With Cutler set to start, rookie David Fales will serve as Chicago's backup, Bears coach Marc Trestman announced.
Clausen started Sunday's game after head coach Marc Trestman decided to bench Cutler, the NFL's leader in interceptions.
Clausen, making his first start since the 2010 season, completed 23 of 39 passes for 181 yards with two touchdowns and an interception in a 20-14 loss.
The Bears are 5-10 and play the Vikings in their final game of the season.
- Dan Gartland