Alabama's second leading scorer, Earnest Shelton, who had missed the last two games with a knee injury, played briefly wearing a brace on his right knee, but did not score.
LSU (14-4, 4-3 Southeastern Conference) took a 28-22 lead in an ugly first half, with the teams combining for 16 turnovers, 11 by Alabama. The Crimson Tide (11-7, 3-4) lost its third game in a row and managed to hit only 30 percent of its field goal attempts in the first half. The Tigers weren't much better at 32 percent.
The game was tied 15-15 with 4:34 to play in the half, when Hudson hit another key 3-pointer and the Tigers outscored Alabama 11-5 the rest of way to intermission.
Alabama came out sharper in the second half and tied the game at 32-32 with 16:24 to play. The two teams stayed close with the lead changing hands three times over the next 10 minutes, before the Tigers took the lead for good on Hudson's 3-pointer.
Both teams remained cold in the second half with Alabama shooting 38 percent for the game and LSU 33 percent.
The win gave LSU a sweep over Alabama for the season. The Tigers won 70-66 when the two teams met in Baton Rouge last month.