Mike Dunleavy finished with 16 points and sparked a decisive 10-0 Bulls run on a 3-pointer with 5 minutes left, erasing an 85-84 deficit.
Jimmy Butler totaled 19 points and seven rebounds.
Kirk Hinrich added 17 points for streaking Chicago, which notched an eighth win in nine games.
The Mavericks got 20 points from Monta Ellis but couldn't extend their four-game winning streak.
Notable deaths of 2014 [PHOTOS]