Jackson, who was 5 of 11 from the field, scored eight of his points at the free throw line for the Seawolves (4-1), who were 27 of 31 from the stripe.
Forward Tommy Brenton pulled down 14 rebounds for Stony Brook, which outrebounded Canisius (3-1) 47-32 and turned 19 offensive boards to 21 second-chance points.
Stony Brook led 36-30 at halftime and pushed that lead to 54-43 behind a Dave Coley jumper with 11:18 left to play.
Coley finished with 14 points for the Seawolves, who led throughout despite shooting 39.7 percent (25 of 63) from the field.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.
College basketball fans should be excited about next season's Jimmy V Classic, an event that will feature Duke's heralded freshman class.