"Restrictions have been put in place in some areas to maintain law and order,” police chief Shesh Pal Vaid told media.
The curfew in the Muslim majority region was defied at night by thousands of people who attended the funeral of a top pro-independence commander, Sabzar Ahmad Bhat, who was killed by government forces earlier.
Bhat, who was the head of the Hizbul Mujahideen militant group, was killed by government forces in Tral area.
The lockdown was put in place a day after widespread violence over the killing of Bhat.
Government forces also set up barricades in the main city, Srinagar, and other towns in southern Kashmir in order to prevent people from attending Bhat’s funeral in his hometown.
The internet and mobile services were also shut down on Saturday by the government.
Kashmir had been divided between Pakistan and India but since 1947, it has been claimed by both countries.
Ever since Pakistan and India have fought three wars over Kashmir.
While anti-India sentiment soaring in Kashmir, the Indian government has deployed about 500,000 soldiers in its part of the disputed region.