Freshmen Jake Layman and Shaquille Cleare scored 12 and 10 points, respectively, for the Terrapins (19-8, 7-7 Atlantic Coast Conference), who are 16-2 at home.
Devin Booker scored 16 points for Clemson (13-13, 5-9), reaching double figures for the 11th time in 14 conference games. Jordan Roper also had 13 points and Milton Jennings scored 10 for the Tigers, who haven't beaten Maryland since 2010.
The Terrapins outrebounded Clemson 39-29, matching their plus-10 average rebounding margin for the season, second best in the NCAA. Maryland, however, made just 6 of 16 free throws (37.5 percent).
A 3-pointer by Faust with 11:52 left in the first half gave the Terrapins an 18-16 lead, their first since they led 4-3 in the opening minute. The Terrapins stayed in control and a strong layup by Cleare gave them a 10-point advantage, 32-22, with 5:52 left.
The Tigers cut the margin to 35-32 at the break on consecutive 3-pointers by Adonis Filer and Roper in the closing minutes. Maryland, however, extended its lead to 44-35 on a jumper by Cleare and a 3-pointer by Faust with 15:54 left in the game.
Maryland continued to pull away and Alex Len provided a 56-40 lead when he made a free throw after he was fouled while converting a layup with 11:20 remaining. The Tigers could not cut the lead into single-digits the rest of the way.
Former Maryland coach Charles "Lefty" Driesell was honored at halftime. Driesell, who coached the Terrapins from 1969 to 1986, compiled a 348-159 record, won an ACC title and led the Terrapins to eight NCAA tournament appearances. The Maryland athletics department will also dedicate a bronze bas-relief of Driesell in a ceremony at Comcast Center on April 16.