The 209th Shaheen Corps of the Afghan Military in the North said the Taliban commander Mullah Ajmal and his comrades were killed in Baharak district.
According to a statement released by Shaheen Corps, the operations were conducted in the vicinity of Anbar Koh area of the district.
The anti-government armed militant groups including Taliban militants have not commented regarding the report so far.
This comes as Shaheen Corps said Saturday that three Taliban militants were killed and five others sustained injuries during the clashes wiht the Afghan forces in this district.
Takhar has been among the relatively calm provinces in northeastern parts of Afghanistan since the fall of the Taliban regime.
However, the security situation of the province has deteriorated during the recent years amid ongoing efforts by the anti-government armed militants to expand their activities in northern and northeastern parts of the country.