Provincial security chief, Abdul Habib Syed Khel, said the missiles were fired late Tuesday night in Dangam district.
Mr. Syed Khel further added that the shelling started late Tuesday night and continued until early Wednesday morning.
He said no casualties were reported following the cross-border shelling.
The Pakistani military has been shelling eastern provinces of Afghanistan including Kunar and Nuristan during the recent years.
According to the local residents in Kunar and Nuristan province, dozens of people have been killed or injured following the cross-border shelling.
The cross-border shelling also resulted into clashes between the Afghan and Pakistani forces last year. An Afghan border guard was killed and three Pakistani military forces were injured after Afghan and Pakistani troops exchanged fire in Goshta district.