The 201st Silab Corps of the Afghan military in the East said the clash took place late on Thursday night in the vicinity of Wata Pur district.
The Silab Corps officials said at least one insurgent of the terror group was killed and two other were wounded during the clash.
The anti-government armed militant groups including the ISIS terrorist group has not commented regarding the report so far.
Kunar is among the relatively volatile provinces in East of Afghanistan where the anti-government armed militants including the Taliban and ISIS insurgents are actively operating in some of its and often carry out insurgency activities.
The ISIS militants also launched a large scale attack in Suki district of Kunar earlier last month which was repulsed the security forces.
According to the Silab Corps officials, at least three ISIS militants were killed and a 82mm rocket launcher, 2 Ak-47s rifles were destroyed in the airstrikes after the Afghan forces retaliated.