Bonner made it a double-double with 15 rebounds and fellow sophomore Sherrell Hobbs scored 19 points for the Tigers.
Auburn outrebounded the Gators 45-37 and made 22 free throws, 13 more than the home team.
For Boddie her 21 points are a career high. "Whitney was outstanding tonight, especially at the free-throw line down the stretch," Auburn coach Nell Fortner said. Boddie was 11-14 on foul shots.
Bonner hit 8-13 field goals and 5-6 free throws while adding two steals and two blocks. "DeWanna made a tough, game-changing shot late that was big for us," Fortner said.
Auburn jumped to a 16-point first half lead, but led just 29-27 at intermission. Auburn scored nine straight points to start the second half. The Gators managed to cut the lead to one point with 5:47 left, but the Tigers nursed a narrow lead the rest of the way for the victory.
Florida got 26 points from Marshae Dotson and 24 from Sha Brooks.
The Tigers shot 43.3 percent and were 0-6 on threes while making 14 turnovers. Florida had 11 turnovers, shot 41.2 percent from the field and made 4-14 threes.
Auburn returns home for a 2 p.m. CST Sunday game vs. Kentucky.