The Bulls have now won 19 of the last 22 home encounters against the Knicks, who were still without Carmelo Anthony.
Chicago were led by Luol Deng and Marco Belinelli who scored 22 points apiece, improving to 11-8 and strengthening their lead in the Eastern Conference Central Division.
Raymond Felton notched up a game-high 27 points for the Knicks but couldn't drive his side to victory like he did against the Miami Heat on Thursday.
New York dropped to 14-5 but remain top of the Eastern Conference. (Reporting by Ben Everill in Los Angeles; Editing by Ian Ransom)