The restrictions were in place in the districts of Anantnag, Pulwama, Kulgam and Shopian - all in south Kashmir, while similar curbs also continued in seven police station areas in Srinagar and in Sopore township in north Kashmir, officials said.
In Srinagar, restrictions continued in seven police station areas of Khanyar, Nowhatta, Safakadal, M R Gunj, Rainawari, Kralkhud and Maisuma.
The officials said restrictions on the assembly of people under Section 144 CrPc also continued in the districts of Budgam and Ganderbal in central Kashmir.
While the separatists had called for a shutdown for two days - on Sunday and Monday - a spontaneous strike was observed in the areas where there were no restrictions.
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Most of the shops, fuel stations and other business establishments in these areas were shut, the officials said.
They said public transport was off the roads, but private cars, cabs and auto-rickshaws were seen plying.
The authorities have also suspended class work in all schools and colleges across Kashmir for today, while Kashmir University has postponed all examinations scheduled to be held today.