Her demand comes despite the closure of 24 mosques in France in the past two years upon the order of Interior Minister, Gerald Darmanin.
In an interview with French TV channel, BFMTV, Marine Le Pen said: "He (Darmanin) closes a mosque there, a mosque here. He dismisses a preacher once in a while, but he must close all extremist mosques in our lands."
Asked over her criteria for the closures, she said all Muslims who have "radical rhetoric" should be deported.
Last year in August, France's highest constitutional authority approved a controversial "anti-separatism" law that has been criticised for singling out Muslims.
The Bill was passed by the National Assembly last summer, despite strong opposition from both rightist and leftist lawmakers.
Touching on the upcoming trial of Justice Minister, Eric Dupond-Moretti, in a conflict of interest case, Le Pen demanded President Emmanuel Macron remove him from the post.
Moreover, on an investigation opened against Alexis Kohler, the Secretary-General of the Elysee, on charges of conflict of interest, Le Pen asked: "Does Emmanuel Macron want to keep someone suspected of conflicts of interest in such a critical position?"
Her National Rally party will propose a Bill for Kohler's removal, she said.
Source: Middle East Monitor