The 201st Silab Corps of the Afghan Military in a statement said the clash broke out in Haidar Keli, Asman Kala, Ibrahim KHel, and Wadi Sar areas of Khogyani district on Monday.
The statement further added that eight militants of the Red Unit of Taliban were killed during the clash and four others were wounded.
According to 201st Silab Corps, at least four ISIS militants were also killed during the exchange of fire with Taliban militants.
The anti-government armed militants including Taliban have not commented regarding the incident so far.
Both Taliban and ISIS Khurasan militants are active in some remote districts of the province.