South Kashmir will hold by-elections in two parliamentary constituencies - Srinagar and Anantnag - next month.
The minister's comments came as three civilians were killed in action by security forces against protesters near an encounter site in Budgam district in Kashmir.
The anti-militancy operation ended with the killing of the lone militant.
"On the eve of these by-elections, terorists and their supporters tend to create such kind of atmosphere but I am sure the common voters in Kashmir which comprise largely of the young voters are determined to defy the diktats of terrorists, the promoters of terrorism and become a part of India's mainstream healthy democracy," Singh said.
Security forces launched a cordon and search operation in Durbugh area of Chadoora in the early hours today following information about the presence of militants in the area.
The search operation turned into a gun battle after the militant opened fire on security forces.