Fifty-year-old Head Constable R P Hazra was severely wounded after Pakistani forces “sniped” from across the border in the Samba sector of Jammu and Kashmir about 4 pm.
The jawan, who was rushed to a nearby medical centre, succumbed to his injuries.
He was born on this day in 1967.
Retaliatory fire has been initiated, a senior BSF officer said.
Hazra, who hails from Murshidabad in West Bengal, has served for about 27 years in the border guarding force. He is survived by a 21-year-old daughter and an 18-year-old son.
The incident came just days after an army personnel was killed along the Line of Control in Rajouri district on December 31 last year.
Sepoy Jagsir Singh, 32, was killed when he was shot by Paksitani troops from across the border along the LoC in Rajouri district on the last day of 2017, the year which recorded the highest number of ceasefire violations in the past decade resulting in the death of 35 people including 19 army personnel and four BSF men.
India shares a 3,323-km border with Pakistan, of which 221 km of the IB and 740 km of the LoC fall in Jammu and Kashmir.
On December 23, an army major and three soldiers were killed along the LoC in Rajouri and in retaliatory action, Indian troops killed three Pakistani soldiers in Pakistan-occupied Kashmir two days later.
The BSF guards the Indo-Pak International Border in the region.