The Eagles (10-10, 4-2) led 39-27 at halftime and maintained the lead throughout the second half. They led by as many as 24 points early in the second half.
The Skyhawks dropped to 4-15, 1-6 in OVC play after their 10th loss in the last 11 games.
Bakari Turner scored 14 points for Morehead State and Devon Atkinson posted a double-double with 12 points and 12 assists. Milton Chavis chipped in with 11 points.
Mike Liabo and Terence Smith scored 19 points apiece for Tennessee-Martin, while Myles Taylor added 13. But the Skyhawks shot just 34 percent from the field (18 of 53) while Morehead State made 33 of 61 shots (54.1 percent).
The Eagles also outscored the Skyhawks 36-16 in the paint.