One person was killed and at least ten were wounded on Sunday in clashes that erupted at dawn between Salafists and supporters of Arab Movement leader Shaker al-Berjawi near the Sports City center in Beirut.
MTV identified the victim as Nabil al-Hanash.
The army has since intervened to contain the fighting, it added.
Al-Jazeera television said that the clashes broke out after a verbal dispute between the rival forces.
Rocket-propelled grenades and machineguns were used in the fighting.
A spokesman for the Future Movement denied to MTV claims of the existence of Salafists in the area, saying that Berjwai was using this as an excuse to spark the fighting.
Berjawi meanwhile accused supporters of the Future Movement of being behind the unrest, reported al-Jadeed television.