The 209th Shaheen Corps of the Afghan Military in the North said the latest clashes took place in the vicinity of Baharak district.
According to a statement released by Shaheen Corps, at least three Taliban militants were killed and at least five others sustained injuries during the clashes.
The statement further added that the clashes took place in Jat Gul Qeshlaq, Pika Tapa, and Pul Mohammad Alam areas of Baharak district.
In the meantime, 20th Pamir Division in a statement said at least six militants have been killed and seven others have sustained injuries during the operations and airstrike in Khwajah Ghar district.
No further details were given regarding the casualties of the National Defense and Security Forces during the clashes.
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.