The rocket-propelled grenade shells tore near the municipal building and the Saadallah Jabri square in central Aleppo, according to the Al Mayadeen broadcaster.
In recent weeks, the situation in Aleppo and surrounding areas has deteriorated, as various militant groups, including the Nusra Front, which is outlawed in Russia and many other countries, have been shelling the city.
Syria has been mired in civil war since 2011, with government forces loyal to Syrian President Bashar Assad fighting numerous opposition factions and extremist groups.