People and Abromaitis hit five 3-pointers each for the Fighting Irish (12-2, 1-0 Big East), who shot 50 percent from 3-point range.
Notre Dame used a 13-0 run early in the game to go ahead 15-4 and finished the half on a 13-1 run to open a 53-32 lead. The Irish made 56 percent of their shots in the half compared to 32 for the Friars (8-5, 0-1).
Providence opened the second half on an 13-1 run, cutting the lead to 54-45 when Sharaud Curry hit a jumper. But Abromaitis hit a 3 to restore the double-digit lead.
A 3-pointer by Abromaitis midway through the half gave the Irish a 67-53 lead and the Friars never got closer than 10 again.
Coach Mike Brey won his 200th game in 10 seasons at Notre Dame (200-103). Overall, Brey is 299-155.
Peoples, a senior who never hit more than two 3-pointers in a game, was 5-for-5 from 3-point range in the first half and had 17 points at intermission. His previous career high was 14 points against Providence in a 103-84 victory last season. All of his points in the second half came from the free-throw line as he didn't attempt a shot from outside and finished 6-for-7 from outside.
Notre Dame had a slight edge inside, outscoring the Friars in the paint 38-34. But just like last season, when the Irish hit 13 3-pointers in beating Providence, the Irish did their most damage from the outside in beating the Friars for a seventh straight time.
After missing their first five 3-pointers, Abromaitis got the Irish going when he hit from the outside 4:35 into the game. Peoples hit his first 3 with 11:29 left in the first half, then hit his second 38 seconds later. Moments later, he sandwiched a pair of 3s around a 3-pointer by Abromaitis.
He hit his final 3 of the half with 3:33 left. He hit his first 2-point basket when he and Abromaitis passed the ball back and forth without a bounce, scoring on a layup.
Luke Harangody got his school-record 57th career double-double, breaking the mark of LaPhonso Ellis (1988-92) with 19 points and 13 rebounds. But he struggled with his shot, going 6-for-21 from the field. Tory Jackson added 11 points and seven assists and Ben Hansbrough had 10 points.
Providence fell to 7-24 in Big East openers, while the Irish improved to 9-6.