They said Tomar had sustained grievous injuries during a gunfight with militants in Kanigam area of Shopian on Friday. Two militants were killed in the operation.
Meanwhile, the Army paid tribute to Havildar Tomar at a solemn ceremony at Badamibagh Cantonment.
Tomar (40) had joined the Army in 2001. He belonged to Sisauli village in Meerut district of Uttar Pradesh. He is survived by his wife and two children.