The militants lobbed a grenade towards BSF personnel stationed at Jhelum Market in Baramulla at around 12.35 pm, police sources said.
Four persons, including two BSF jawans, were injured in the blast. Later, one of the injured civilians - Abdul Gani - succumbed to injuries, they said.
Of the injured BSF jawans, Head Constable U Haldar was shifted to a hospital here in a critical condition.
Three hours later, the ultras tried to target a CRPF vehicle by lobbing a grenade in busy Batamaloo area of the city but missed it, the sources said.
No militant outfit has claimed responsibility for the attacks so far.
Militants had carried out grenade attacks on CPRF camps on August 14 but today's strikes were the first attacks in crowded areas of Kashmir during the Muslim fasting month of Ramzan.
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