Coast Guard led 27-26 with 8:31 to go in the first half when a 13-0 run pushed the lead to 40-26 with 4:54 to play in the half. The Bears (6-2) led 45-31 at halftime.
The Bears shot 53 percent (17-32) in the second half and never looked back.
Dan Sheppard had 12 points and eight rebounds for Coast Guard while Kevin Edes added seven points and a game-high 12 points.
Barett Dziok led Becker (1-6) with 30 points.
Coast Guard is now 6-2 at the Christmas break, having doubled its win total of three from a year ago, when the team lost its final 15 games and finished 3-20.