The officials further added, the incident took place on Tuesday in Cheghcharan city.
Provincial governor spokesman Abdul Hai Khatibi confirming the report said the injured soldiers belongs to Lithuania.
He said the incident took place after an Afghan soldier called on Lithuanian troops to stop their vehicles.
According to Mr. Khatibi the Afghan soldier fired a rocket propelled grenade on the armored vehicle of the Lithuanian troops, injuring two of them.
Mr. Khatibi also added that the health condition of one of the soldier is critical and has been taken out Ghor province for treatment purposes.
The assailant Afghan soldier has reportedly been arrested and is under the investigation.