Provincial governor’s spokesman Mohammad Asif Nang said the drone strike was conducted late on Saturday night in Khak-e-Safid district targeting the militants in the vicinity of Qarya-e-Surkh area.
He said a hideout of the militants was targeted in the airstrike a commander of the group was likely among those killed.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.
Farah is among the relatively volatile provinces in western Afghanistan where anti-government armed militant groups are actively operating in a number of its remote districts.
The US forces in Afghanistan have stepped up airstrikes against the militant groups during the recent months.
The Obama administration granted broader role to the US forces based in Afghanistan to target the loyalists of the Islamic State of Iraq and Syria (ISIS) terrorist group as well as the Taliban militants.
The broader role was granted amid deteriorating security situation in the country and following concerns that the militant groups are attempting to expand insurgency in the country.