The Rockets won their third in a row and opened a 3 1/2-game cushion over Utah in their bid to capture a playoff berth.
Parsons, who is averaging 15 points a game in his second season in the NBA and whose high game for the year has been 32 points, produced 29 while hitting 12-of-18 from the field.
Houston pulled off the victory despite turning the ball over 19 times and committing eight more fouls than did the Kings.
Pistorius testifies he didn't consciously pull trigger when he shot girlfriend
Pot vending machine to debut