Harden distributed seven assists. Omer Asik added 20 points and 16 rebounds for the Rockets, who bounced the Nets for a 12th straight meeting.
Jeremy Lin had 14 points, nine assists, and Chandler Parsons finished with 16 points, 11 assists and six rebounds for Houston.
Deron Williams led Brooklyn with 27 points and 11 assists.
The Nets dropped a second straight game following a streak in which they won 10 of 11.