The 209th Shaheen Corps of the Afghan Military in the North said the airstrike was carried out in the vicinity of Sayad Koh area in Sherin Tagab district.
A statement by 209th Shaheen Corps said at least 13 militants were killed in the airstrike and four others sustained injuries.
The compound used by the Taliban leader Qari Rahmatullah was also destroyed in the airstrike, the statement by 209th Shaheen Corps added.
The 209th Shaheen Corps said at least 7 militants were killed and 3 others sustained injuries during a separate clash in Zoryan area of Qaisar district.
At least two Afghan soldiers also sustained injuries during the clashes with the Taliban militants, the statement added.
The anti-government armed militant groups including Taliban militants have not commented regarding the report so far.
The security situation in northern Faryab province has deteriorated during the recent years amid ongoing efforts by the anti-government armed militants to expand their insurgency activities in key northern provinces.