The 209th Shaheen Corps of the Afghan National Army in the North said the latest clash took place in Aab Garmak area of Ghormach district.
The source further added that six others including Qari Bilal were wounded during the clash.
According to the Shaheen Corps, the militants belonged to a terrorist group leader Mullah Ziauddin.
The Afghan forces and the ordinary civilians have not suffered any casualty during the clash, the Shaheen Corps added.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.
This comes as the anti-government armed militant: groups have been attempting to expand their foothold and insurgency in the northern provinces.
At least nine Taliban insurgents were killed during the operations of the Afghan National Defense and Security Forces in northern Baghlan province of Afghanistan.
The 209th Shaheen Corps had earlier said the militants were killed during Alburz-24 operations.