It was the 59th evacuation of informal camps since 2015, Versini said.
"There are also plans to tighten rules for asylum seekers".
Police inspect makeshift tents housing numerous migrants in the north of Paris, in an operation to clear them out.
Police said they evacuated a total of 1,606 migrants from two camps near the Porte de la Chapelle, sheltered under part of the ring road that surrounds the capital.
Numerous occupants, which included families with children, said they were from Afghanistan or sub-Saharan Africa.
"I'm Not going to tolerate that there is still this type of facility here or in any other public space of Paris", he told the press Lallement.
The highly-publicised operation, the biggest in over a year, comes one day after a French government pledge to "take back control" of immigration. It also provides for a period of three months before seeking asylum in France to have access to Social Security except for medical emergencies.
Interior Minister Christophe Castaner said the people evacuated on Thursday would be housed in state-sponsored centers while their asylum requests were being processed. "The prefects have assured me time and time again that the camps would not go back, but each time have come back", said the mayor of Paris, socialist Anne Hidalgo, who has often criticized the immigration policy of the Government of Macron.
Paris deputy mayor Dominique Versini told FranceInfo that hundreds of those in the camps had made themselves scarce beforehand because their legal situation meant they didn't want to go to an official shelter.
Awa, a 32-year-old woman from the Ivory Coast, said on Thursday that she had been sleeping in a tent at the Porte de la Chapelle since she arrived in France a year ago.