Coast Guard led 39-30 at halftime and used an 18-3 run over the first nine minutes of the second half and take a 57-33 lead with 11:08 left.
Dan Sheppard had 17 points and 16 rebounds for Coast Guard (3-1) while Kevin Edes added 11 points and 10 rebounds.
Matt O’Malley led Anna Maria (0-2) with 20 points while Quincy Nunnally had 11 points and a team-high 11 rebounds for the Amcats.
Coast Guard has matched its season win total of three from last year, when the Bears were 3-20.