Harden made only 5-of-20 shots from the field but helped out with seven rebounds and seven assists for Houston, which logged its first victory since Jan. 8.
Chandler Parsons chipped in with 14 points, seven rebounds and five assists for Houston.
Kemba Walker struck for a career-high 35 points on 12-of-21 shooting, but it wasn't enough for the Bobcats, who dropped their 15th straight at home.
Ramon Sessions added 19 points, eight rebounds and five assists for the losers.
Trader Joe's: Car crashes into Long Island store, injuring 11
Wisconsin business offering 'therapeutic cuddling' forced to close