With the win, Maryland has now won nine straight since its season-opening loss to Kentucky.
The Terrapins led by 10 at halftime, but outscored the Hawks 40-17 in the second half en route to the easy victory, fueled by smothering defense. Monmouth shot just 20.6 percent for the game (14-68) and was 3-14 from three-point range.
Alex Len (14 points) and Dezmine Wells (10 points) joined Faust as the three Terrapins in double figures. Len also had 10 rebounds, and Maryland won the battle of the glass, 43-27. The Terrapins scored the first six points of the game and never trailed.
Khalil Brown scored a team-high 10 points in the losing effort for Monmouth, who drops to 5-6.
Next, Maryland stays home to face Stony Brook on Dec. 21. Monmouth will play its third consecutive game against a power conference opponent on Dec. 22 against Villanova.