Canyon Barry scored 15 points and Devin Robinson had 13 for the Gators (16-5), who have won two in a row since dropping consecutive games to South Carolina and Vanderbilt.
Florida scored a season-high 106 points against LSU on Wednesday, and then held Oklahoma to 27.7-percent shooting.
Rashard Odomes scored 13 points for the Sooners (8-12), and Kameron McGusty had 10.
Jordan Woodard, Oklahoma's leading scorer for the season with 17 points per game, went scoreless on 0-for-7 shooting. The senior guard was benched for most of the second half.
Oklahoma led 20-18 before Florida took control. Barry drained three underhanded free throws with 4 seconds left in the first half to put the Gators up 43-28 at the break.
The Sooners shot 24.2 percent from the field in the first half and missed all six of their 3-point tries. They finished 1 for 16 from beyond the arc.