The Bulls won for the fourth time in five games and needed a late surge to do it after falling behind by as many as 10 points in the third period.
Noah scored 21 points, hitting 7-of-10 from the field and all seven of his attempts from the foul line. Luol Deng added 19 points and 12 rebounds for the Bulls while Marco Belinelli had 16 points.
Jrue Holiday delivered 26 points and nine assists for the 76ers. Evan Turner contributed 16 points and eight rebounds.
Philadelphia made only 2-of-14 from the 3-point arc and reached the free throw line a mere 11 times while making just five.