Reports say rebels in the besieged Eastern Ghouta region fired the rockets at Kashkoul, police told the Sana news agency.
Six other civilians were injured in a separate attack to the west, they said.
Rebel groups have stepped up artillery attacks since pro-government forces launched a major air and ground assault on the Eastern Ghouta a month ago.
The intense bombardment of the enclave by the Syrian military and its allies is believed to have left 1 400 civilians dead and led 50 000 others to flee.
Earlier, activists said a suspected Russian air strike had killed 15 children and four women sheltering in an underground school in the rebel-held town of Arbin.
UN aid agencies meanwhile expressed alarm at the “massive displacement” of civilians from the Eastern Ghouta and warned that many were in a very poor state of health, with children suffering malnutrition, scabies, diarrhoea and respiratory infections.