With the Rockets trailing 95-94, Harden threw an inbounds pass to Omer Asik, quickly got it back, and then drained a pull-up jumper from just inside the arc with 4.5 seconds left for the decisive score.
Harden finished with 29 points, including 15-of-17 from the free throw line, while also grabbing nine rebounds and distributing six assists.
Chandler Parsons helped out with 20 points and eight boards for Houston.
Millions of Getty images now available for free via embed tool
Ray Liotta sues skin care company over use of likeness