Christen's kick capped a four-play scoring drive that began when UConn (5-6, 2-4 Big East) defensive back Blidi Wreh-Wilson intercepted a pass in the end zone.
Louisville (9-2, 4-2) will have to beat Rutgers Thursday to claim a share of the Big East title.
Christen kicked a field goal in the first quarter and Shakim Phillips caught a 3-yard TD pass in the second overtime that gave the Huskies a 20-13 lead.
DeVante Parker caught a 25-yard TD pass from Cardinals' quarterback Teddy Bridgewater in the second OT to even the score again.
Bridgewater completed 30-of-53 passes for 331 yards, two touchdowns and an interception.
UConn's Chandler Whitmer and Johnny McEntee combined for 92 yards on nine completions.
Couple mistakenly served bag of cash at McDonald's drive-thru
Beyonce flaunts bikini body, Blue Ivy in vacation pics