The 201st Silab Corps of the Afghan Military in the East said the latest drone strikes were carried out in the past 24 hours.
According to Silab Corps, at least two of the militants were killed in Nawagi area in Achin district of eastern Nangarhar province.
In a similar airstrike in Watapur district of Kunar province, at least two more ISIS militants were killed, the 201st Silab Corps said.
The source also added that the airstrikes have not caused any casualty to the local residents.
The anti-government armed militant and terrorist groups including the ISIS insurgents have not commented regarding the report so far.
Both the Taliban and militants affiliated with the Islamic State terror group have presence in some districts of Nangarhar as well Kunar provinces.
The Afghan national defense and security forces frequently conduct clearance operations to suppress the terror groups as the US forces based in Afghanistan also conduct airstrikes to eliminate the terrorists.