The incident took place 4:41 into the third quarter of Toronto's 110-78 victory at Chicago on Saturday.
Noah, the son of French tennis legend Yannck Noah, was ejected after picking up technical fouls in the first and third quarters.
The lack of emotional control by Noah upset Bulls coach Vinny Del Negro.
"He has to control his emotions," Del Negro said. "We've talked about this, not just with Joakim but with other players. He has to understand how important it is that he is on the floor with us."
The incident came one night after Noah complained to NBA superstar LeBron James after the NBA Most Valuable Player did a victory dance during Cleveland's 101-87 victory over the Bulls.
Noah was seated on the bench when James hit a free throw and began his dance, what has become a common victory move.
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