The Nangarhar governor’s office in a statement said the militants were killed late on Thursday night during an operation of the Afghan Special Operations Forces.
The statement further added that two other militant identified as Nsrullah and Pahlwan were also arrested during the operation.
The operation was conducted in the vicinity of Lalpur district of Nangarhar, the statement said, adding that two motorcycles, one vehicle and some explosives were also confiscated.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.
Nangarhar is among the relatively calm provinces in East of Afghanistan where fewer incidents have been reported since the fall of the Taliban regime.
However, since the year 2014, reports continue to emerge regarding the growing insurgency activities of the anti-government armed militant groups in some remote parts of the province, including Achin.
The ISIS militants are also active in some districts of Nangarhar and often carry out insurgency activities despite operations underway to suppress their activities.