Harden also had nine assists for the Rockets, who won their fifth in a row and dealt the short-handed Lakers their fourth consecutive loss.
Steve Nash scored 16 points for the Lakers and notched 10 assists, giving him 10,000 for his career. Nash dished to Antoine Jamison on a pick-and-roll to become the fifth player in NBA history to top 10,000 assists.
Metta World Peace led Los Angeles with 24 points and Kobe Bryant totaled 20 points and seven assists.
Houston trailed 62-59 at halftime but outscored the Lakers 38-26 in the third quarter to take control of the contest.