The Bulls dealt the Knicks their third straight loss and joined New York as the only teams in the Eastern Conference with 10 road wins.
Chicago's lead grew to as many as 22 points in the latter stages of the third period, giving the Bulls enough of a cushion to withstand a late New York surge.
New York's Carmelo Anthony returned from a one-game suspension to score 39 points, but the rest of the Knicks' starters produced only 26.
Anthony was suspended for confronting Boston's Kevin Garnett after a game on Monday.
Celebrity Families of 2014 [PHOTOS]