Curry scored 34 points, making 13-of-19 from the field in what was the Warriors' 30th victory of the year.
Chicago led by as many as 16 points in the first half, but Golden State went on a 20-6 run to close the second period and led by four at the break.
The Bulls fell to 2-3 on a six-game road trip that will conclude Sunday against the Los Angeles Lakers.
Klay Thompson added 19 points for the Warriors, who made 11-of-22 from 3-point range.
Chicago was paced by Taj Gibson with 26 points and 13 rebounds.
Celebrity Families of 2014 [PHOTOS]