Local reporter Ibra Joudeh took to Twitter and posted a video of the missiles being shot in the sky.
He said: “Video shows Missile launched against unknown Target in Far East Damascus countryside.”
Mr Joudeh added shortly after that “another air defence missile was just launched”.
It is currently unclear what the missiles were targeting.
The reporter also revealed that there are “reports of Israeli warplanes crossed the borders through Lebanon”.
Syria state television has reportedly confirmed that its air defences are repelling attacks in the country’s Homs region.
There are also reports of airstrikes on al-Shayrat military airbase in Homs.
There are currently no reports of targets hit in Damascus.