Curry had 10 assists and seven rebounds for the Warriors before leaving the game with an ankle injury in the fourth quarter.
Golden State helped give new head Coach Mark Jackson his first victory by forcing 20 Chicago turnovers.
The Bulls' Derrick Rose was limited to 13 points on 4-of-17 shooting from the floor.
Luol Deng led Chicago with 22 points and 10 rebounds.
Costly malfunction causes beer flood at Boston-area brewery
Megyn Kelly: Santa Claus and Jesus are both white men