Pat Connaughton provided 16 points, eight rebounds and five assists for the Irish (10-4, 1-0 ACC), who pulled out a win in their first contest as a member of the Atlantic Coast Conference.
Garrick Sherman added 14 points, including a key basket late in the game, as Notre Dame notched a fifth straight home win over a Top 10 opponent.
Rodney Hood struck for 27 points and Quinn Cook added 22 for the Blue Devils (11-3, 0-1), who fell to the Irish for just the third time in 22 all-time meetings.
High-scoring freshman Jabari Parker was limited to seven points on 2-of-10 shooting.
Notable deaths of 2014 [PHOTOS]