One of the boys was also charged with a section 18 assault.
The teenagers have been released on unconditional bail and are set to appear in court for sentencing next month.
Moshe Fuerst, 17, was one of four Jews attacked at a Manchester tram station last Saturday.
Jerusalem-born Moshe was knocked unconscious during the assault. He was brought out of an induced coma on Monday after suffering severe bleeding to the brain.
Moshe, from Prestwich in north Manchester, was released from hospital last night.
His father, Rabbi Michael Fuerst, thanked the community for their prayers. He said: “I have tremendous gratitude for everyone who has prayed for him. I’m sure it contributed to his miraculous recovery.”
