Tony Mitchell had a double-double with 16 points and 11 rebounds for the Crimson Tide (10-6, 2-0 Southeastern Conference), who opened up 2-0 in conference play for the first time since 2002.
Green and Mitchell scored 17 of Alabama's first 20 points and combined for 19 of Alabama's first half points.
The closest South Carolina got in the second half was 33-30, but Alabama outscored the Gamecocks 11-3 to push the advantage to 44-33 - its largest lead of the game - on a free throw by Green with 7:47 left.
Malik Cooke finished with 11 points for South Carolina (10-5, 1-1), while Ramon Galloway and Bruce Ellington had 10 points each. Lakeem Jackson grabbed 11 rebounds.
Gamecocks Fall To Alabama, 57-47
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