The authorities are also likely to suspend mobile internet services across the Valley, it was learnt.
He was killed in an encounter with Indian security forces previous year.
An outpouring of grief and anger flowed on the streets of Kashmir after his death that lead to months of clashes with security forces. His death triggered months of violent street protests in Kashmir that left 100 people, majority civilians, dead.
Separatist leaders - most of whom have been either confined to their homes or jailed - have called for a week of protests from yesterday to mark Wani's death.
Wani s father said there was a huge military presence outside the family home.
"There were so many soldiers outside I couldn't go out". Sabzar was the successor of Burhan Wani. Curfew has also been imposed in Shopian town of South Kashmir and Trehgam in North Kashmir's Kupwara district.
The crowd became angry when troops entered a mosque to remove a sound system that was being used to play songs calling for a free Kashmir. Hashtags like #TeamBurhan and #HangKulbhushan have several thousand hits in Kashmir region, and trolls propagate the idea that India is spreading terrorism in Pakistan.
He said that the celebration on the occasion of Pakistan's victory in ICC Champions Trophy by Kashmiris in the valley was a referendum.
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He said India was propagationg that there was no issue in Kashmir, but the Organization of Islamic Cooperation (OIC) and other global human rights organizations had asked it if there was no issue then why the people of the held state were persistently holding protests and were being subjected to worst human rights violations.
They added Kashmir is the jugular vein of Pakistan and one day it would become part of the country.
Since Wani's death, civilians have played an increasingly active role in the rebellion against Indian rule.
It was for the first time that the State government had enforced such an unprecedented security measures on death anniversary of a militant commander in the Valley.
The resistance leadership in a joint statement issued in Srinagar said that India had turned Jammu and Kashmir into a war zone.
Traffic plied on roads, shops and other business units were opened in all the towns of the valley except in Tral where shutdown was observed by the people on the second day today, though separatists had no called for any shutdown.
Fearing pro-independence protests and demonstrations, the Indian authorities had increased the presence of its armed forces and imposed curfew-like restrictions across the region.