The curbs were put into place in five police station areas, Nowhatta, Khanyar, M R Gunj, Rainawari and Safakadal, he said.
Separatist groups had earlier this week urged the people to hold "peaceful protests" after congregational prayers today.
"Hold peaceful protests after Friday prayers to protest the suspension of life sentences of army soldiers involved in the Machil fake encounter and persecution of pro-freedom leadership," the chairmen of the two factions of the Hurriyat Conference, Syed Ali Geelani and Mirwaiz Umar Farooq, and JKLF chief Yasin Malik said in a joint statement on Wednesday.