Israel has not commented on the reports.
The Syrian military suspected Israeli planes of striking points South of Damascus, saying it only caused material damage.
The report of the attack, which took place, refers to an unidentified military official.
It said warplanes struck South of Damascus shortly before midnight from the Israeli-occupied Golan Heights.
The report does not specify the targets of the strikes or the damage caused.
The Syrian state news agency SANA reported that the Syrian air defense system responded to flying missiles.
Later, SANA and the Syrian TV channel al-Ekhbariya, without going into details, reported that Israeli warplanes struck a village in Quneitra province on the outskirts of the Golan Heights and southwest of Damascus.
There has been no reaction from Israel yet.