The clash erupted after a group of insurgents attacked a security check post in Dara-e-Sof District of this province last night.
Khairullah Anosh, acting governor of this province said that nine other militants and one soldier also sustained injuries in the fighting.
Taliban have claimed responsibility for the attack.
Taliban have increased their attacks against security forces after announcing their spring offensive last month.
Currently fighting continues between the militant group and security forces in at least sixteen province of the country.