Authorities clamped strict restrictions in Srinagar and north Kashmir's Sopore town to foil a separatist march on Friday.
J&K CM Mufti Mohammad Sayeed has issued directions to the state home department to step up investigations and provide secure environment to all civilians.
Jammu and Kashmir government on Thursday ordered immediate replacement of the paramilitary Central Reserve Police Force personnel with state armed police in the Gagran camp of curfew-hit Shopian district.
Authorities in J&K have imposed strict restrictions in parts of summer capital Srinagar which is already under a thick security blanket ahead of Independence Day.
The Indian Army on Tuesday said that it was moving ahead with 'unprecedented speed to initiate investigation' in the Chattergam firing incident in which two youth were killed and two others critically wounded on Monday evening.
For the first time in 25 years since the start of militancy in Kashmir, the separatists have not called for a general strike on Martyrs' Day on Monday in view of the fasting month of Ramzan.
Curfew was imposed in the Srinagar and other parts of the Kashmir Valley a day after four people were killed and 40 others wounded in security force firing at Gool in Ramban district of Jammu region.
Brushing aside the strong opposition to it from separatist leaders, religious heads and some civil society groups, authorities have decided to go ahead with the high profile Zubin Mehta concert in Srinagar on September 7.