The official said Israeli aircraft coming from the south fired several missiles at areas near Damascus around 11:15 PM.
The SANA said that the Syrian Arab Air Defense Forces (SyAADF) have intercepted at least eight Israeli missiles over the Syrian capital of Damascus.
According to the military source, the Syrian air defenses were "immediately" engaged overnight after a number of Israeli fighter jets came "from the direction of the Galilee (and) fired several missiles towards the vicinity of Damascus".
The Syrian Observatory for Human Rights war monitor said "two areas hosting military positions of Iranian forces and the Lebanese Hezbollah movement have been targeted".
A Transport Ministry spokesperson told SANA that air traffic from the airport was unaffected by the conflict.
The aggression caused only material damage to one of the ammunition warehouses at Damascus International Airport.
Following the airstrike, Israeli warplanes were seen flying at high speed and low altitude over the southern Lebanese city of Tyre. That followed the September 17 downing of a Russian reconnaissance plane by Syrian forces responding to an Israeli airstrike, a friendly fire incident that stoked regional tensions.
Russian Federation announced it had delivered the S-300 air defense system to Syria in October.
Israeli Prime Minister Benjamin Netanyahu on Sunday confirmed his nation destroyed Iranian weapons caches in Syria's Damascus airport during airstrikes over the weekend.