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.
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Five-star guard Coby White only needed three days to accept an offer from head coach Roy Williams. White, No. 21 in the ESPN 60 committed to the North Carolina Thursday.