Kenny Boynton added 14 points while Scottie Wilbekin (10 assists) and Will Yeguete chipped in with 13 apiece for the Gators (14-2, 4-0 SEC) in the first-ever meeting between the schools.
Florida connected on 59.3 percent of its shots from the floor in rolling to its sixth straight win.
The Tigers (13-4, 2-2) were hobbled by the absence of leading scorer and rebounder Laurence Bowers, who is out with sprained knee ligament.
Jabari Brown netted 16 points and Keion Bell scored 14 die for Missouri.
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