Neil Watson had 15 points and Jerrald Brooks 12 for the Golden Eagles (7-3), who snapped a three-game losing streak.
Terry Rose led Grambling State (0-8) with 18 points. The Tigers have played all their games on the road.
Holding an 11-7 lead 3:48 into the game, the Golden Eagles scored 19 consecutive points and rolled to a 50-21 halftime advantage.
Southern Miss shot 59.6 percent from the field (34 of 57) to Grambling's 32.6 percent (15 of 46) and outscored the Tigers 18-6 from the foul line. Southern Miss outrebounded Grambling 36-23.
Southern Miss won the only other meeting between the teams, a 70-52 victory in the Super Chevy Shootout in Iowa City, Iowa, during the 1996-97 season.
A cameraman fell down trying to film Ben Simmons at the NBA Draft. Flashing back to his LSU days proves this is nothing new.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
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