Bradley scored 20 points and hit several clutch shots late in the game, and Patterson had 23 points and 12 rebounds for the Wildcats (7-7, 1-0 SEC).
Joe Crawford added 17 points for Kentucky, which gave up a 16-point second-half lead but then held on and pulled away in the second overtime.
Shan Foster's 17 points topped Vanderbilt's scoring. A.J. Ogilvy had 16 points, five rebounds and five blocked shots for the Commodores (16-1, 1-1).