The Bulls won their third game in a row after beating the Knicks on Saturday.
With the Bulls up three, 85-82, with under two minutes to play, Belinelli made a jumper from the right baseline to extend Chicago's lead to 87-82 with 1:38 remaining in the game.
After a Nate Robinson steal on the ensuing New York possession, Joakim Noah converted a driving layup to give the Bulls an 89-82 lead with 56.1 seconds remaining. Chicago was able to secure the win from the free-throw line the rest of the way to win its third game in a row.
Belinelli had 22 points for the Bulls.
The Knicks were led in scoring by Raymond Felton, who had 27 points on 9-of-30 shooting from the field. As a team, the Knicks shot 32.1 percent from the floor.
Tyson Chandler recorded his seventh double-double of the season as he scored 14 points and grabbed 18 rebounds in the loss.
The Knicks were without Carmelo Anthony for the second-straight game as he is recovering from a laceration on his finger.