Siyani Chambers added 13 points and Agunwa Okolie 11 for the Crimson (3-3).
Branden Frazier led the Rams (1-6) with 16 points, Ryan Rhoomes had 11 and Leonard Travion 10.
Harvard shot 29 of 39 from the foul line to Fordham’s 8 of 14, with the Rams committing 29 fouls to Harvard’s 14.
Fordham jumped out to a 21-10 lead midway through the first half, with Frazier leading the way with five points, but Harvard made a 19-3 run with Travis scoring 12 points.
The Crimson led 36-33 at the break.
The Rams closed to one point, 36-35, on Canty’s dunk 34 seconds in to the second half but never got closer.