Providence (18-8, 8-5 Big East) maintained a slim but steady lead on the Pirates after Kris Dunn gave the Friars the lead on a layup with 12:09 to play in the first half.
The game was the 96th meeting between the teams and the win was the 50th by Providence in the series.
Henton was 6 of 15 from the field, but was 4 of 7 from beyond the arc and accounted for all of the Friars' made 3-pointers. Dunn added 19 points.
Isaiah Whitehead scored 20 points to lead Seton Hall.