Local government officials said the airstrike was carried out by unmanned aerial vehicle (UAV) in Sarkano district late Monday night.
Provincial police chief, Gen. Abdul Habib Syed Khel, said the airstrike targeted a compound of the anti-government armed militants in Sarkano district.
Gen. Syed Khel confirmed that two militansts were killed following the airstrike and a civilian was also injured.
The anti-government armed militant groups have not commented regarding the report so far.
Kunar is among the volatile provinces in eastern Afghanistan where anti-government armed militant groups including the Taliban militants are actively operating.