Anton Gill made all five of his shots from the floor to finish with 14 points as Louisville (23-6, 11-5 ACC) closed February with its third straight win.
Louisville shot 31 of 64 (48.4 percent) for the game as the Cardinals surpassed the 70-point mark for the first time in eight February games.
Montay Brandon scored 13 points on 5 of 6 shooting and Boris Bojanovsky added 11 points and nine rebounds for FSU (15-15, 7-10 ACC). But the Seminoles had 21 turnovers, including 13 in the first half.
The Seminoles shot 19 of 48 (39.6 percent) from the floor. Xavier Rathan-Mayes finished 5 of 16 for 12 points.