The victory gave the Hilltoppers (11-5, 4-0) six consecutive wins while handing the Owls (7-8, 0-4) their fourth straight loss.
The Owls led 52-39 with 11:54 left. WKU went on a 14-4 run to lead 70-67 with 53 seconds left in regulation. A jumper by FAU's Marquan Botley tied the game at 71-all and sent it into overtime.
Two Price free throws put WKU ahead 87-82 with 17 seconds left in overtime, and Botley missed a 3-pointer with four seconds left.