It was the latest in a string of deadly attacks targeting the Akrameh neighbourhood of the central city.
"This is a cowardly terrorist act," Governor Talal Barazi said.
The neighbourhood is majority Alawite, the sect to which President Bashar al-Assad belongs, and has been hit by multiple attacks, as well as mortar fire.
In October, a twin car bomb attack outside a school in the district killed 54 people, including 47 children, sparking outrage in the city.