Dylan Cox scored 11 points to lead Army (1-4), which has lost three straight.
The Irish, playing their second game in three days following their first loss of the season last Sunday to Indiana State, won their second straight and improved to 9-0 all-time against Army.
Army, which came in averaging nearly 34 3-point attempts per game, missed its first nine 3-pointers before Kyle Wilson finally connected with 14:04 to play.
Sherman scored 10 straight points for the Irish early in the second half to get their lead up to 13. Eric Atkins was just 2-for-13 from the floor before he connected on a 3 with 14:35 left. His second 3 came near the start of an 18-0 Irish burst that put the game away, pushing their lead to 33 points with 3:40 to play. Army did not hit a field goal for over 6 minutes before ending the run.
Atkins finished with 13 points, five assists and four steals. Zach Auguste came off the bench to score 14 for Notre Dame.
The Irish started the game 1 of 7 from the field and missed their first four 3-point attempts until Pat Connaughton connected from deep, 6:26 in to give Notre Dame its first lead, which it would not relinquish.
Six straight points off the bench from Zach Auguste pushed Notre Dame’s lead to seven midway through the half, but the Black Knights hung around by hitting the glass.
Army had as many offensive rebounds (16) as Notre Dame had total in the first twenty minutes. But Army also committed 13 first half turnovers, which led to 14 Notre Dame points. The Irish led by eight points at the half.