Last week`s fiery Amstel Cup defeat at the hands of Feyenoord was the source of a lot of controversy, as Pierre van Hooijdonk was sent off for an innocuous incident, but Chivu and Ibrahimovic got away with nasty looking challenges.
The game was referred to the KNVB, who allowed their video panel to assess the incidents.
Swedish striker Ibrahimovic was caught on camera aiming an elbow at a Feyenoord defender, and the Dutch FA have hit him hard - handing out a five-game suspension.
Chivu`s wild lunge has cost him three games of the remainder of the season.
The suspensions will hit Ajax hard as they are battling hard to keep Feyenoord at bay in the race for second place in the Eredivisie.
Ronald Koeman`s Ajax have yet to make a decision on whether or not they will lodge an appeal.
