The groups made the threat during a conference held in the Pakistani capital to discuss the film.
Addressing the meet, Lashkar-e-Taiba founder Hafiz Muhammad Saeed demanded that US President Barack Obama should ban the film.
Jamaat-e-Islami chief Munawar Hassan said the US should frame laws to prevent the recurrence of such incidents.
In a statement released after the conference, the groups said a meeting of the Organisation of the Islamic Conference should be convened to discuss the film and.
It said that if the UN Security Council fails to frame a law against blasphemy, Pakistan should leave the world body and form a separate "Muslim United Nations", the statement said.
