With the Thunder trailing 99-97, Durant's shot with 41.9 seconds left bounced off the back and front rims before falling through and Oklahoma City held on to post a 3-0 advantage in their best-of-seven Western Conference quarterfinal series against the Rockets.
Durant finished with 41 points as Oklahoma City rebounded after letting a 66-49 halftime lead slip away, while playing without all-star Russell Westbrook, who is out for the post-season following knee surgery.
Harden (30 points, eight rebounds, six assists) got a basket back with 8 seconds remaining, but Reggie Jackson then sank a pair of free throws for the final margin.
Chandler Parsons supplied 21 points, seven rebounds and seven assists for the Rockets.
Notable deaths of 2014 [PHOTOS]