Martin was penalized for instigating the incident and tackling Koloko into the stands, while Jovic was handed a suspension for leaving the bench and entering the altercation. Koloko was fined $15,000 for grabbing Martin.
Martin and Koloko each were assessed a technical foul and ejected when they became entangled while competing for position during the Heat's 112-109 victory.
Martin and Jovic will serve their suspensions Monday when the Heat once again host the Raptors.