Syrian state television quoted the army as saying several rockets were fired from an area near Lake Tiberias in northern Israel just after midnight which landed in the compound of Mezzah airport.
The airport is a major strategic airbase that is mainly used by Syria’s elite Republican Guards.
In a statement, army command warned Israel “of the repercussions of the flagrant attack and stresses its continued fight against (this) terrorism and amputate the arms of the perpetrators”.
The statement did not reveal if there were any casualties, but said the rockets caused a fire.
Mezzah airport had been a base used to fire rockets at former rebel-held areas in the suburbs of Damascus.
Israel in the past has targeted positions of Lebanon’s Hezbollah group inside Syria where the Iranian-backed group is heavily involved in fighting alongside the Syrian army.
Israeli defence officials have voiced concern that Hezbollah’s experience in the Syrian civil war, where it has played a significant role and recently helped the Syrian army regain the eastern sector of the city of Aleppo, has strengthened it.
Rebels operating in the area have said Hezbollah’s major arms supply route into Damascus from the Lebanese border has been targeted on several occasions in recent years by airstrikes.
Tel Aviv neither confirms nor denies involvement in striking targets inside Syria.