The Bears sealed the game with six free throws in the extra frame for a 68-64 victory.
“This was a good win by bunch of young kids on the road,” Bevill State coach Rick Bolling said.
The Bears (8-4) shot just 29 percent from the floor (23-of-79), but pulled out their second road victory of the season.
“To play that poorly and win the game, that’s impressive for a young team. That’s the first close game we’ve won in a long time. Last year we didn’t win a close game. This is going to help our confidence down the road,” Bolling said.
Bevill State led 32-24 at the half and the game was knotted at 57-57 at the end of regulation. Ricky Sears, William Johnson and Corey Smith each hit a pair of free throws in overtime.
Sears, Johnson and Robert Wakefield each had 11 points to lead the Bears. Greg Johnson and Mario Frazier each added nine rebounds for Bevill State, which had 19 turnovers in the game.
Bevill State hosts Enterprise State at Fayette on Monday.