Two militants were killed while an army major and a trooper were wounded in a ongoing fierce encounter in south Kashmir's Shopian district.
He said the army was retaliating strongly and effectively to the ceasefire violation.
12 security personnel, including three officers, were also injured in the operation at Reasi.
The chief said that the reason for the fall is because of the combined efforts of NIA, state police and security forces.
The case relates to the July 18, 2020 encounter at Amshipora in which three youths of Rajouri district -- Imtiyaz Ahmed, Abrar Ahmed and Mohammed Ibrar -- were killed and branded as terrorists.
Three terrorists of the Hizbul Mujahideen terror outfit including a divisional commander were killed in a south Kashmir encounter in Srinagar on Monday.
Pakistan's claim comes in the wake of tense relations between the two countries in the aftermath of the Pulwama terror attack.
5 terrorists to LeT and Hizbul were killed in an encounter with security forces in Kulgam district of J&K.
A top Lashkar-e-Tayiba militant was killed in a six-hour-long gun-battle with security forces in Sopore town of north Kashmir Baramulla district, the police said.
Abdullah's sister Suraiya, his daughter Safiya and 11 other women furnished a personal bond of Rs 10,000 and surety of Rs 40,000 each under section 107 of criminal procedure code, giving an assurance that they would maintain peace, the officials said.
Local people, however, rushed to their rescue and informed the police, he said.
The balloons were first seen by a villager near his house on Friday and when he found the note written in Urdu, he handed them over to the police.
The army has foiled an infiltration bid by armed militants, who tried to intrude under the cover of firing from the Pakistan side along the Line of Control in Poonch district of Jammu and Kashmir, making it the fourth such incident this week, police said.Armed militants from across the border tried to intrude into Jammu and Kashmir, under the cover of firing from Pak Rangers on Friday night, making it another incident of cease-fire violation.
The incident comes two days after Jaish-e-Mohammad terrorists attacked an army camp in Sunjuwan area of Jammu, killing six people including five soldiers.
A magnificent display of India's cultural diversity through colourful parades across the length and breadth of the country marked the 71st Republic Day celebrations on Sunday which passed off peacefully, barring in Upper Assam, which was rocked by four explosions within a span of 10 minutes.
Union Home Minister Sushilkumar Shinde arrived in Jammu for a day's visit on Tuesday to review the security situation in the wake of the increased ceasefire violations on the International Border by Pakistan.
"We have killed the Hizbul Mujaheedin district commander Sajad Ahmed Bhat alias Tahir Maqsood and three other militants. With their elimination, we have almost wiped out the entire group of Hizbul militants operating in Kulgam," S M Sahai, Kashmir inspector general of police said.
Khan said time has come to begin a 'comprehensive dialogue' between the two countries.
Former India cricketer Virender Sehwag offered to bear the educational expenses of children of all the CRPF personnel martyred in the dastardly terrorist attack in Jammu and Kashmir's Pulwama.
He said there was no report of any untoward incident from anywhere in the state.
The bodies of two terrorists had been recovered on Sunday.
Australian Foreign Affairs Minister Marise Payne also urged India and Pakistan to "exercise restraint" and engage in dialogue to ensure issues are resolved peacefully.
Uneasy calm prevailed in Ayodhya, which on Saturday looked like a fortress, with deployment of more than 10,000 cops on the 22nd anniversary of the demolition of the Babri Mosque.
Army troops today busted a militant hideout and recovered a huge cache of arms and ammunition including a sniper rifle, one universal machine gun and 13-kg explosive in Ramban district of Jammu and Kashmir.
The identities and affiliation of the terrorists were yet to be known. Arms and ammunition had been recovered from the site.
The IED that pierced the rooftop of one of the IAF buildings at the Jammu airport carried less than one kg of RDX and a cocktail of other chemicals whereas the one that was dropped on the ground contained a little over one kg of the deadly explosives along with some ball bearings.
A Border Security Force jawan and a woman were injured and two houses damaged on Saturday when Pakistani troops targeted Indian posts and civilian areas along the LoC in Nowshera and Sunderbani sectors of Rajouri district with mortar bombs and small arms fire, prompting the army to give a "befitting response".
"If we (the Kashmiris) don't talk about it (dialogue), who will? Not a Bihari, not a Punjabi," she said.
He also said in the Rajya Sabha that the people of the country have a predominant wish of retrieving the parts of Jammu and Kashmir occupied by Pakistan since 1948.
A Lashkar-e-Toiba militant was killed in a gunbattle with security forces in south Kashmir's Pulwama district overnight, police said.
Cheeta, CO of the 45th CRPF battalion, was shot nine times during an operation against terrorists in the Hajin area of Kashmir Valley on February 14 this year.
Infiltration in Jammu and Kashmir is on the rise, with nearly 100 terrorists sneaking into the Valley this year from across the Line of Control taking routes, including those chosen by Pakistani raiders in 1947, to move towards south, which has emerged as the epicentre of militancy.
The Union home ministry has sought a report from Jammu and Kashmir government on circumstances leading to release from jail of hardline separatist leader Masarat Alam, who has over 15 cases pending against him.
The police on Tuesday claimed to have busted a module of Lashkar-e-Tayiba militant outfit by arresting seven ultras and recovered huge cache of arms and ammunition from Sopore area of Baramulla district in Kashmir.
Armed Forces (special Powers) Act should not be revoked until the proxy war in Jammu and Kashmir is stopped and the state police machinery is able to handle the normal law and order situation. R S Chauhan reports.
They are the first to be declared terrorists under the new anti-law, a home ministry official said.
The apex court directed the state government not to take any coercive steps against army officials.
A suspected Lashkar-e-Tayiba militant was on Wednesday killed in an encounter with security forces in Kupwara district of north Kashmir, police said.
It is going to be a rough and brutal 2020 for India as its government pushes on with its ideological agenda, and the citizens do whatever they can to protect themselves, notes Aakar Patel.
Nine security force personnel were injured in the firing by the terrorists, they said adding five of them succumbed to injuries.
