"The ANA conducted a clean-up operation in surrounding areas of Asmar and Ghazi Abad district on Tuesday. So far, 10 militants have been killed and three injured," Xinhua quoted army spokesman in the region, as saying.
One army personnel was also killed and two injured during the ongoing operation, the official said.
"The raid will continue before the area is cleared of the militants and army will spare no efforts to provide security and assistance to villagers in the two districts in the mountainous province," he said.
Afghan security forces have pressed on clearing the militants in restive provinces as Taliban militants have been attempting to take territory and consolidate their positions during the winter in the Asian country.
The Taliban militant group has yet to make comments.