Harden connected on 11-of-16 from the field.
Jeremy Lin heated up in the third quarter, netting 11 of his 15 points in the key frame, as the Rockets racked up their second win three games.
Sacramento was led by Travis Outlaw with 15 points.
Cole Aldrich provided 12 points and 12 boards as the Kings fell for the sixth time in seven games.
Moore to attend retreat in to avoid Kutcher's wedding
'How to Train Your Dragon 2' releases 5-minute clip