Weyinmi Efejuku added 25 and Geoff McDermott contributed 12 points, 10 assists and seven rebounds as the Friars (8-3) won their third consecutive game.
Jason Rich led the Seminoles (10-4) with 27 points and Toney Douglas had 22.
Isaiah Swann gave the Seminoles an early 11-3 lead with 3-pointer 3:12 into the game.
But the Friars, who scored six 3-pointers on their first 10 shots, took a 24-21 win on Brian McKenzie's 3-pointer.
After trailing 47-41 at halftime, Florida State tied the game at 73-73 on Ralph Mims' 3 with 8:25 left.
Providence surged ahead 92-81 on a layup by Efejuku, but the Seminoles closed within five on successive 3-pointers Mims and Rich with 1:21 left.
The Friars then hit nine foul shots to secure the win.
Both teams shot the ball well. The Friars shot 58 percent in the game while Florida State shot 54 percent for the game after shooting 65 percent in the first half.
(Copyright 2007 by The Associated Press. All Rights Reserved.)