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.
Ray Liotta sues skin care company over use of likeness
Millions of Getty images now available for free via embed tool