Griner, who also became just the second woman ever to dunk in an NCAA Tournament contest, posted nine rebounds, six blocked shots and four assists for the top-seeded Lady Bears (36-0) as they continued their quest for a 40-win campaign.
Odyssey Sims added 14 points, Jordan Madden 13 and both Kimetria Hayden and Destiny Williams with 11 points apiece, the latter also clearing a game-high 13 boards.
The ninth-seeded Gators (20-13) were paced by Azania Stewart with 14 points, followed by Deana Allen and Lanita Bartley with 13 and 11 points, respectively.
Baylor struggled a bit in the first half, the team, shooting just 37.1 percent from the floor, but with the Gators converting just 2-of-9 behind the three- point line in the period the Bears were able to post a 35-26 lead at the break.
In the second half Baylor picked up the pace at both ends of the floor, limiting Florida to just 30.8 percent shooting from the field while the Bears themselves knocked down 55.0 percent in order to cruise to the 19-point win.
Florida, which turned the ball over 18 times, shot just 4-of-19 beyond the arc and was outscored at the free-throw line, 24-7.