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.
2014: The Year in Fashion [PHOTOS]
UPI Sports Results for September 19, 2014