The Bulls snapped a two-game skid and dealt the 76ers their season-worst seventh consecutive loss.
Noah scored 23 points, hauled in 21 rebounds and blocked 11 shots. Chicago hit just 38 percent from the field, but Noah went 8-of-12.
Carlos Boozer added 21 points and 12 rebounds for the Bulls. Luol Deng had 12 points, but fell to the floor after being hit in the face by a Spencer Hawes elbow in the closing seconds of the contest. Deng eventually went to the locker room under his own power.
Jrue Holliday led the 76ers with 22 points and Hawes had 20.