Former Bear Leonard Floyd played an inspired game against his old team, ending with two sacks and taking the game ball as the Rams ground out an affirming win over their fellow National Football Conference contenders.
It was 10-3 at half-time before the Rams asserted their superiority with two touch-downs in the third term, with Malcolm Brown rushing over from close range before Gerald Everett took a 12-yard pass from Goff to score after an eight-play 80-yard drive.
Chicago gained a consolation touchdown with seven minutes left when Eddie Jackson scored from eight yards off a fumble return.
The result left both teams with 5-2 win-loss records, with Los Angeles sitting third in the NFC West and Chicago second in the NFC North.
Goff passed for 219 yards, while the Bears were held to just 182 yards through the first three quarters.