Bryant, who had 70 yards on 10 carries, scored on a 1-yard run in the first quarter to cap a 12-play, 66-yard drive. Crossan, who had 96 yards on 21 carries, went in from 4 yards to finish an 11-play, 82-yard drive in the second quarter.
Christian Breda had a pair of field goals in the second half.
New Hampshire finished 411 yards to 336 for Colgate.
AP College Football website: www.collegefootball.ap.org