Satish Kumar Singh, a Rajput, was shot by terrorists in Kakran area of the south Kashmir district at around 7.30 pm.
Curfew remained in force in the five districts of Anantnag, Kulgam, Pulwama, Shopian and Baramulla.
Delhi saw seven cold wave days in January 2020, while it did not record any such day last year.
The incident took place at Sirnoo village in the morning when the security forces laid siege to a locality based on intelligence reports about the presence of three terrorists, including an army deserter - Zahoor Ahmad Thoker, in the area, police officials said.
Landslides have occurred near Ramban and Battery Cheshma which have forced the closure of the highway.
The death toll in the unrest in Kashmir rose to 44.
Gen Singh also discussed with Mehbooba the security arrangements for the by-polls to Anantnag assembly constituency from where the chief minister is contesting, the spokesman said. The polling will take place on June 22.
The three-year-old son of a former militant, who was critically wounded in an attack in north Kashmir's Sopore town on Saturday evening, succumbed to injuries in a hospital in Srinagar.
Kashmiri Pandit employees on Monday threatened to appeal to international human rights organisations for asylum if the central government failed to relocate them from the Valley in the wake of attacks on minorities.
Around 300 terrorists are present in Jammu and Kashmir, while 160 others are waiting on the launchpads for an opportunity to sneak into this side from across the Line of Control (LoC) in Pakistan, a top army commander said on Tuesday.
Militants snatched an automatic rifle along with a magazine from a cop and decamped with it in south Kashmir Pulwama town on Tuesday afternoon.
Curfew and restrictions continued in Kashmir for the 29th day after fresh clashes erupted in the Valley killing three men on Friday.
The National Investigation Agency on Wednesday raided a dozen places in Jammu and Kashmir in connection with two cases, one related to the recovery of an IED and another about the recruitment of youth by the Lashkar-e-Tayiba terror outfit, an official said.
Singh said there is a large presence of terrorists across the Line of Control (LoC) but expressed confidence that the counter-infiltration grid will take care of the threat.
The panel had first visited the Valley in October after which it had recommended an immediate ban on use of pellet guns by security forces.
Terrorists fired upon a joint party of the Central Reserve Police Force and police near Main Chowk Sopore in north Kashmir district around noon, they said.
Some stunning glimpses of Kashmir's first snowfall
With the operation getting fiercer by the minute, more troops have been called in.
42 terrorists, 7 civilians and 15 security personnel have lost their lives since May 15.
The curbs on assembly of people were put in place in the police station areas of Nowhatta, Khanyar, Rainawari, Safakadal and Maharaj Gunj in downtown (interior) areas and in Maisuma in Srinagar, as well as in Shopian town.
Jammu and Kashmir cops mistakenly used the image of Irfan Shah, a resident of Kupwara, instead of militant Abdul Qayoom Najar.
Prime Minister Narendra Modi convened a high-level meeting at his residence on Tuesday morning to review the situation in Jammu and Kashmir.
The duo came under the scanner of the security forces during tracking of a local LeT terrorist, named Lateef Rather alias Osama, who was involved in terror incidents in Srinagar and Budgam in the last two months, the police spokesman said.
A 22-year-old youth Wasim Ahmad Lone died when security forces opened fire to disperse a stone-pelting mob in Nadihal area in Baramulla district.
The clashes led to disruption in normal activities in various places including Lal Chowk, the nerve centre of the city, the officials said.
A senior police officer said that militants fired at Imtiyaz Ahmad Nadroo, 25, near his house where a telecom tower is installed.
Curfew continued in parts of Srinagar on Saturday in view of the separatists' call for occupying Lal Chowk and Airport Road here while curfew-like restrictions remained in force in rest of Kashmir even as normal life remained paralysed for the 57th day.
'Ladakh too is politically paralysed and in limbo, as Rafale jets roar above Leh and Israeli arms dealers prowl the town.'
A youth was killed and three others injured as security forces opened fire in Kupwara district of Kashmir to disperse protesters who were pelting stones on an army camp.
Earlier, Union Tourism Minister Mahesh Sharma called Kashmir the pride of the nation and appealed to all stakeholders to invest in the tourism sector in the state.
The former Jammu and Kashmir chief minister said the agenda of the new political outfit would be to struggle for the restoration of J and K's statehood and to fight for the job and land rights of people.
Normal life remained affected in Kashmir Valley for the 98th day due to the ongoing unrest.
The cold conditions returned in Kashmir division as the night temperature in most places, including Leh, plunged further below the freezing point followed with clear skies and unusual sunny days.
Security agencies braced for a march called by separatists on Monday.
In a development that may raise an alarm in the security establishment, flags of dreaded terror outfit ISIS along with those of Pakistan were today raised in Kashmir after which police promised a thorough probe and legal action against those involved.
Additional director general of police Jammu region Mukesh Singh visited both the sites and said high explosives might have been used in carrying out the blasts which were of the same pattern.
The chances of the posts opening remain slim, with security agencies recently identifying 10 suspects who smuggled in weapons, narcotics and fake currency.
Mir's son, Zahoor Ahmed Mir, said his father's security was withdrawn two months ago and all efforts to get it back had fallen on deaf ears.
Body of Reyaz Ahmad, with a big perforation in the abdomen, was found outside Shri Maharaja Hari Singh Hospital.
The Jammu and Kashmir administration on Wednesday sacked police constable Tawseef Ahmed Mir, who has been accused of actively working for Hizbul Mujahideen and trying to kill two of his colleagues, and four more employees for alleged links with terror groups.