“There would be no curfew anywhere in the Valley today (Sunday),” a senior police official said.
With two youths killed in clashes in Anantnag and Shopian districts on Saturday, the death toll in the ongoing unrest rose to 79.
Around 11,500 others have been injured since July 9.
All educational institutions, main markets and public transport remained suspended.
Although the Eid-ul-Zuha festival falls on Tuesday, there was no traditional hustle and bustle in the Valley.
Separatists have asked people to stage a protest march to the headquarters of the UN Military Observers Group in Srinagar.