The restrictions were announced on Monday in an effort to prevent further violence following a weekend of unrest that saw demonstrators target city halls, public buildings and businesses across the country.
On Sunday evening, groups of people set fires to trash bins, bicycles and other objects in the streets and looted businesses in Paris, Lyon, Marseille and other cities, a day after major violence erupted Saturday during nationwide protests against rising living costs and poor conditions in schools.
"Those who looted will have to pay back for the damage, and those who sought to bring down the Republic will be held accountable," Macron said in a televised address to the nation.
Four men were given preliminary charges in the investigation into the Sept. 8 theft from the small Renoir Museum in the town of Cagnes-sur-Mer on the French Riviera.