India said it had responded to "unprovoked" Pakistan has been firing across the border for a fourth consecutive night, Reuters reported.
The country is stepping up its search for militants in the region after a deadly attack on tourists in Kashmir last week.
After the April 22 attack that killed 26 people, India identified two of the three suspected militants as Pakistanis, although Islamabad denied any role and called for a neutral investigation.
Security officials and survivors said the militants separated the men in a clearing in the Pahalgam area, asked for their names and then targeted the Hindus, who they shot at point-blank range.
The attack has sparked outrage and grief in Hindu-majority India, as well as calls for action against Islamist Pakistan, which New Delhi accuses of funding and encouraging terrorism in Kashmir, a region claimed by both countries. claim and have fought two wars.
The two nuclear powers have taken a series of measures against each other, with India suspending the critical Indus Waters Treaty and Pakistan closing its airspace to Indian airlines.
The Indian army said it had responded to "unprovoked" small arms fire from multiple Pakistani army posts around midnight on Sunday along the 740-kilometer border separating the Indian and Pakistani regions of Kashmir. No casualties were reported.
Separately, the Pakistani army reported killing 54 Islamist militants who had been trying to enter the country from the Afghan border in the west over the past two days.
India's defense forces have conducted several military exercises across the country since the attack. Some of them are routine preparedness exercises.
Security forces have detained about 500 people for questioning after searching nearly 1,000 houses and forests for militants in Indian-administered Kashmir.
Political leaders in the country have called for increased vigilance to ensure that innocents are not harmed in the government's crackdown on terrorism after the deadliest such incident in India in nearly two decades.
"We must avoid any inappropriate actions that alienate people. Punish the guilty, show them no mercy, but don't let innocent people become indirect victims," urged Omar Abdullah, the chief minister of Jammu and Kashmir.