The Packers scored 30 straight points in the last three quarters.
Rodgers threw a 5-yard touchdown pass to Donald Lee, Jason Hunter scored on a 53-yard fumble return and Ryan Grant on a 4-yard run. Mason Crosby connected on field goals of 53, 33 and 45 yards along the way.
Chicago's only points came on Robbie Gould's 35-yard field goal in the second quarter.
Rodgers totaled 227 yards passing and Grant rushed for 145.
Kyle Orton passed for 138 yards and lost a fumble for Chicago (5-5).