"We should start vacating the Suda camp today," Vournous was quoted as saying by the Athens news agency.
On Thursday, refugees and migrants set the Suda refugee camp on fire, looted shops and vehicles, attacked people with fireworks on the island. The riot police had to intervene to restore order.
According to Vournous, the Greek government had to take responsibility regarding the migrant issue and ensure safety of citizens and migrants.
He added that he contacted Immigration Minister Ioannis Mouzalas and demanded dismantling the Suda camp.
Europe is suffering from a massive migration crisis, trying to find a way to tackle the flow of undocumented migrants. Greece is on the frontline of the refugee crisis, as hundreds of thousands of people arrive in the Balkan state crossing the Mediterranean in order to seek asylum in the European Union. The number of incidents involving migrants had recently increased due to their dissatisfaction with being prevented from reaching Central and Northern Europe.