"I am confident elections will be held and the government will ensure they are held without violence," Singh told reporters.
He described the threat as a "desperation" by militants, and also by Pakistan, "which is forcing the terrorists to spread fear psychosis and disrupt this process of elections."
According to reports, Hizbul Muzahideen circulated a video on social media in which a person, believed to be the outfit's operations commander Riyaz Naikoo, is heard threatening residents against participating in the polls.
The polls are now scheduled to be held from February 15.
Deputy Chief Minister Singh asserted that the youths, who have been misled under Pakistan's influence, have returned.
"In Kashmir parents and friends are appealing militants to come back and we hope that in future more people will shun militancy and return to their homes," he said.
Asked about the action taken against four cricketers, who allegedly playing Pakistan's national anthem before the start of a cricket match in Bandipora district yesterday, Singh said: "Action has been taken and law will take its course".
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)