Mr Lennon, 27 and from Luton, has been released on bail and will appear in court on November 22.
A Metropolitan police spokesman said that the members of Muslims Against Crusades had been bailed until December pending further inquiries.
In October Mr Lennon organised a rally outside the Israeli embassy. He told the JC that when it came to counter-demonstrators he was prepared to “protect myself against anyone”.
He said: “I will stand up to anyone and that’s what you’re seeing.”
An initiative to combat Jewish support for the EDL has been launched by Jewish organisations including the Board of Deputies, Community Security Trust, the Israeli Embassy, and Jews for Justice for Palestinians.