Thompson made 6 of 7 shots and delivered seven assists. McDermott contributed a team-high seven rebounds.
Baldwin picked up two fouls in the first 3-plus minutes of the game and was limited to 11 minutes in the first half. The senior guard finished with three fouls.
The Bulldogs shot 52% percent while holding the Gators to 44%. Butler made 9 of 20 3-pointers while Florida was 6 of 21. Each team had 10 turnovers.
The Gators, who trailed by nine at halftime, narrowed the deficit to six points twice before the Bulldogs pulled away. Butler's largest lead was 19 points at 61-42 with 7:33 remaining.
Butler finished the first half with a 19-5 run to take a 35-26 lead at halftime. Trailing 21-16, the Bulldogs had an 11-0 run.
Butler owns the nation's longest streak of consecutive non-conference home victories at 56.
Florida: After a solid start on the road, the Gators' four-game winning streak end with a thud. Entering the game with a 30% average from 3-point range, Florida shot 23%.
Butler: The Bulldogs won their third meeting with an SEC opponent in the last four games, previously beating Missouri 63-52 in the Hall of Fame Classic on Nov. 24 and host Mississippi 67-58 Tuesday.
Florida: Home game against another Big East opponent Providence on Dec. 17.
Butler: Travels to No. 18 Baylor on Tuesday.
Langley scores 22 to lead NC A&T over Morgan St. 76-70
Kameron Langley had a career-high 22 points plus 12 assists as North Carolina A&T; topped Morgan State 76-70 on Monday night.
New No. 1 Baylor focused on finishing that way
Baylor edged Oklahoma 61-57 hours after becoming the seventh team in the nation to reach No. 1 in the AP poll this season.
Armstrong leads Texas Southern over Grambling 68-61
Tyrik Armstrong scored 17 points, Bryson Etienne added 13 and made four assists and Texas Southern beat Grambling 68-61 on Monday night to win its third straight.