Images on social media showed overturned, burning cars and broken shop windows in Brussels city centre as well as police trucks firing water cannons at crowds gathered in front of the city's stock exchange.
Brussels police said that of some 1,500 people had come to celebrate Morocco's 2-0 win over Ivory Coast, but that around 300 started to behave violently and attacked police officers and firemen called to put out burning cars and dust bins.
More than 100,000 people of Moroccan origin live in Brussels. Belgium saw an influx of Moroccan workers in the 1960s and 1970s.
Prosecutors said that by Sunday morning no arrests had been made, but Belgium's interior minister vowed to hold those responsible to account, calling the events unacceptable.
"The fundamental problem is that such events are used as an excuse for reckless behaviour and doing unacceptable things," Interior Minister Jan Jambon told Belgium's Radio 1.
"We have camera images - whoever did this will pay for this, there is no way around it," Jambon added.
(Reporting by Robert-Jan Bartunek, editing by Larry King)
