Constable Bijender Bahadur was on duty at forward point along the fence in Arnia sector along the IB when Pakistani Rangers resorted to mortar shelling and small arms fire at about 12.20 AM.
A bullet hit the jawan on the left of his abdomen and he succumbed to injuries on the way to hospital, a BSF officer said.
"BSF troops retaliated strongly and gave befitting reply," he said.
Bahadur, 32, hailed from Vidya Bhawan Naraypur village in Uttar Pradesh's Balia district. He is survived by his wife Sushmita Singh.
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A civilian named Ajay Kumar, 37, of Pawal Arnia, received a bullet injury on his right leg outside his house and was shifted to Arnia Hospital.
There have been continuous ceasefire violations by the Pakistani troops for the past three days.
Two Pakistani soldiers were killed in retaliatory action by the BSF yesterday while three Indian jawans were injured in unprovoked firing and shelling by Pakistani troops along the IB and the LoC in Jammu and Poonch districts on Wednesday.