Harden went 11-of-13 from the free-throw line while also handing out six assists and grabbing five rebounds for Houston, which claimed its fourth straight victory and sixth in seven contests.
Omer Asik (20 points, 18 rebounds) and Jeremy Lin (20, 11 assists) supplied double-doubles in the Rockets' one-sided victory. Chandler Parsons struck for 23 points and Marcus Morris added 10 for Houston.
The Bulls, losers of two straight, were led by Nate Robinson with 27 points off the bench.
Luol Deng put in 14 points to go with five boards for Chicago.