Attaullah Khogyani, the spokesman for the provincial governor, said the aerial assaults were carried out across the Achin district some 150 kilometers (86 miles) east of the capital, Kabul.
Nangarhar has seen a rise in the number of militants joining Daesh ranks in recent months.
Taliban have warned Daesh ringleader Ibrahim al-Samarrai, also known as Abu Bakr al-Baghdadi, against “waging a parallel insurgency in Afghanistan.”
Earlier this month, about 40 Daesh terrorists were killed in Afghan aerial and ground attacks in Achin.