According to the local government officials, the operations were conducted in Nejrab district to curb the activities of the anti-government armed militant groups.
An official of the Afghan national army serving with the 201st Silab Corps said around 30 Taliban militants were killed in the operation.
The official further added that the clearance operation is still underway to fully clear the areas from the militants.
The anti-government armed militant groups including the Taliban group has not commented regarding the report so far.
Kapisa is among the relatively volatile provinces in northeastern Afghanistan where anti-government armed militants are active in a number of its remote districts.
The militants continue to their insurgency activities in parts of this province occasionally which comes amid rampant Taliban-led insurgency across the country.