Ben Gordon scored 15 points and Kirk Hinrich had 11 for the Bulls, who improved to 14-20 overall and 5-3 under interim coach Jim Boylan.
Andre Iguodala scored 25 points, Samuel Dalembert had 21 and a season-high 20 rebounds, and Andre Miller added 20 points for the Sixers, who dropped their season-high sixth straight game. They have not won in 2008 with their last victory coming at Seattle, 98-90, on Dec. 31. Lou Williams had 15 points for Philadelphia and Reggie Evans grabbed 13 rebounds.
Nocioni hit a 3-pointer with 6.8 seconds remaining in the third quarter, giving Chicago a 70-58 lead.
The Bulls extended their advantage to 16 early in the fourth on two free throws by Tyrus Thomas.
Philadelphia chipped away with a 10-1 run and pulled to 94-90 with 1:04 remaining on a dunk by Dalembert. But Nocioni responded with a layup with 39.9 seconds left to put the Bulls back up by six.
Once again, poor shooting plagued the Sixers for long stretches. They hit 42 percent of their shots, including 3-of-6 on 3-pointers.
Philadelphia has hit only 6-of-34 3-pointers and has struggled mightily since trading Kyle Korver to the Utah Jazz on Dec. 29.
