The Bears defense picked off Dallas signal-caller Tony Romo five times overall, helping Chicago (3-1) win its second straight.
Jay Cutler tossed a pair of scoring passes en route to 275 yards, going 18-of-24 through the air.
His favorite target was Brandon Marshall, who made seven receptions for 138 yards receiving with a score.
Matt Forte shook off an ankle sprain to pick up 52 rushing yards on 13 carries for the Bears.
The five pick-offs were a career high for Romo, who finished with 307 yards and a touchdown on 31-of-43 efficiency.
The Cowboys (2-2) got 112 receiving yards and a score from Jason Witten on 13 catches in the loss.