The Cardinals won 34-31 in overtime in the rain in Louisville last season. This one went to overtime on a wet, raw night when Cincinnati's Tony Miliano kicked a 26-yard field goal with 7 seconds left.
An interference penalty in the end zone set up Brown's 2-yard run to open overtime.
The Bearcats wound up with a fourth-and-14 at the 29, and Brendon Kay's pass went off the hands of Anthony McClung at the 6, ending Cincinnati's first overtime game at Nippert Stadium since 2003.
Bridgewater was 23 of 37 for 255 yards with three touchdowns, two of them in the fourth quarter.
He eluded three tacklers on a 14-yard run on a third-and-12 play to keep one touchdown drive going, and finished it by scrambling away from defenders and throwing an off-balance pass for a 22-yard score.
He and Kay kept topping each other in the fourth quarter, but Cincinnati's sixth-year senior didn't have one more big play left in him. He was 22 of 40 for 304 yards with two interceptions and two touchdown scrambles, one of which left him woozy.
For Louisville, the game amounted to a farewell.
The Cardinals head off to the ACC next season, leaving Cincinnati behind. Louisville claimed the final Big East football title last season, beat Florida in the Sugar Bowl and was favored to win the first AAC championship.
Top 25 football Louisville 31, Cincinnati 24
R The Cardinals, who leave for the Atlantic Coast Conference next season, beat the Bearcats in overtime for the second straight year.
• With Louisville's win, Central Florida wins the American Athletic Conference championship.