The curbs have been imposed in view of violent protests that have taken place after Friday prayers at these places in the past.
"Curfew has been imposed in Nowhatta, Khanyar, Rainawari, Batamaloo, Safakadal and Maharajgunj police station areas of the city as a precautionary measure," a police official said.
The official said restrictions on assembly of four or more people were imposed in rest of the Valley for maintaining law and order.
There had been increased movement of traffic on main roads of Kashmir and the city's civil lines this week with people defying the separatists' call for shutdown.
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Security forces have been deployed in strength at vulnerable spots and along the main roads to ensure that the day passes off peacefully, the official said.
Shops and business establishments remained shut in the Valley.
The ongoing unrest in Kashmir has affected the education as schools, colleges and other educational institutions continue to remain shut in the Valley.
Over 300 persons have been booked under Public Safety Act (PSA) so far.
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