The Bulldogs (2-0) pulled away from a 28-26 halftime lead to go up 47-35 with 13:02 left. They shot 54.5 percent in the second half.
Tabb was 11 of 19 from the field and Thomas was 8 of 13, including 4 of 8 from 3-piont range.
It was Alabama A&M's first win in three tries against the Redhawks, who dropped to 0-3. SE Missouri beat the Bulldogs 85-51 last November.
Alabama A&M, which beat Tulane 68-67 in overtime on Friday night, had never started a season with two wins since joining Division I in 1999.