The 27-24 win by the Bears helped Fox score a 14.5 Nielsen Media rating with a 26 share of audience.
The game formed the latter part of a double-header following on from the Atlanta Falcons victory over the Green Bay Packers.
The average ratings for the double-header was an 11.9 with 23 audience share - four percent higher than the ratings at the same juncture last season.
US broadcaster Fox scored its highest single game ratings for the NFL on Sunday for its coverage of the Chicago Bears versus the Tampa Bay Bucaneers.
