Deng had 23 points and 11 assists while Noah provided 22 points and 11 rebounds for the Bulls, who won despite the absence of reigning NBA MVP Derrick Rose for a third straight game.
Rose remained day-to-day with a sore back.
The Bulls allowed Sacramento to rally from a 19-point deficit in the fourth quarter but held on for their sixth win in seven games.
Sacramento fell for the third time in four games.
Notable deaths of 2014 [PHOTOS]
Julius Randle breaks leg during NBA debut