Curfew has been imposed in nine police stations in the city as a precautionary measure, a police spokesman said.
He said the police station areas include Nowhatta, Rainawari, Nigeen, Lal Bazaar, Safakadal, Maharajgunj, Khanyar, Shaheedgunj and Maisuma.
Both factions of Hurriyat Conference and JKLF have called for strike and protests tomorrow.
Afzal was hanged and buried inside Tihar Jail in Delhi on February 9.