Eli Manning completed 18-of-30 passes for 195 yards, without a touchdown or interception for the Giants (2-2), who rebounded from back-to-back losses to Indianapolis and Tennessee.
Brandon Jacobs also ran for New York, which held the previously undefeated Bears to 110 total yards.
New York sacked Chicago quarterback Jay Cutler nine times in the first half, bouncing him out of the game with a concussion.
The Bears (3-1) turned to 38-year-old backup Todd Collins, who was also forced out late in the fourth quarter after being crunched. Caleb Hanie finished the game under center.