Residents said Muhammad Rafi Rather, a 28-year-old bus driver, was shot down by the paramilitary Central Reserve Police Force (CRPF) personnel posted at Gagaran camp, around 50 km from here.
They said that the incident took place near Shopian town without any provocation as the man was passing by the camp.
Two other people including a girl sustained bullet wounds too.
Two other people, including a girl, sustained bullet wounds in the incident, they said.
A CRPF spokesman, however, denied any firing by personnel posted at Gagaran.
"CRPF did not open fire. Our men were not even deployed on the streets," CRPF spokesman Kishore Prasad told reporters in Srinagar.
Inspector General of Police (IGP) Kashmir Abdul Gani Mir said that police were investigating the incident. He said they were also probing Saturday's firing incident at Gagaran in which four people were killed.
While residents say all the four killed were civilians, Mir said three had no militancy record and were "obviously" civilians. The fourth person killed in Saturday's firing was a militant, he said.
"Locals said he was a labourer from Bihar, but our channels say he was a militant," the IGP said.
The police chief said cases have been registered in both incidents.
Separatist leader Syed Ali Geelani called for a shutdown in the Kashmir valley and the Chenab valley districts of Kishtwar, Doda and Ramban on Thursday over the killing of the man in Shopian.
Jammu and Kashmir Liberation Front chairman Muhammad Yasin Malik also called for a sit-in at the city centre Lal Chowk in Srinagar on Friday.
Chief Minister Omar Abdullah chaired a high level meeting in Srinagar on Wednesday evening to review the security situation in the town.