Arrangements are being made at Bejibehara, the leader's hometown, for his last rites.
Mehbooba Mufti, his eldest child, will likely succeed him.
A moderate intensity earthquake rocked Kashmir valley on Saturday afternoon, triggering panic among the residents.
Two militants believed to be from the Lashkar-e-Tayiba were killed in an overnight gunfight in south Kashmir's Pulwama district.
No group has yet claimed responsibility for the attack.
Tourist hot spots like Gulmarg and Pahalgam woke up on Friday morning under a thick blanket of snow.
One soldier was killed and another wounded in the encounter. The injured trooper was evacuated to hospital for treatment.
Four militants, including three of Hizbul Mujahideen, were on Monday killed in two gunfights during search operations in the Kashmir valley, officials said.
Lieutenant Colonel SK Natt was evacuated to a hospital for treatment.
The militants hurled a hand grenade at the CRPF troopers, who were part of a road opening party, in Pampore town on the strategic Jammu-Srinagar national highway.
A police constable was also injured in an encounter that is still going on.
The blast at the heavily-guarded CRPF camp at Nowpora came even as authorities mounted a security bandobast across the state, especially in Srinagar where the prime minister is scheduled to address a public rally -- his second in Kashmir.
Chief Minister Mufti Mohammad Sayeed on Sunday said Prime Minister Narendra Modi's upcoming visit here will be a "turning point" in the history of Jammu and Kashmir and the people of the state have great expectations from it.
Curfew-like-restrictions were imposed in the old city of Srinagar and some uptown areas to foil protests and a sit-in at the historic Jamia mosque after the Friday prayers.
The heavily overcrowded matador van was on its way from Ghordi to Ramnagar with mostly college students and government employees, when it fell into a deep gorge near Dalsar area of the Ramnagar Tehsil.
Protests, an uneasy calm and a sense of deep grief enveloped south Kashmir's Anantnag on Monday, a day after Zahid Rasool Bhat, a 19-year-old trucker, succumbed to his injuries after the truck, which he was travelling in was attacked over beef rumours.
Two civilians including a girl were wounded in an ongoing gunfight between militants holed up in a house and security forces in south Kashmir Pulwama district.
The Jammu and Kashmir government said it has forwarded a proposal for construction of community bunkers along the Line of Control and International Border to the home ministry for consideration.
The suspension of four National Conference members had prompted the opposition leaders to boycott the ongoing session of the Jammu and Kashmir assembly.
The anti-terror operation is still on.