The Syrian Observatory for Human Rights, a Britain-based war monitor, said Saturday's strikes hit a weapons depot outside the airport.
A spokesperson for the Israel Defense Forces said Israel does not comment on foreign reports. Syrian government anti-aircraft defense systems were activated, with a number of anti-aircraft missiles launched in response to the attack, according to SANA.
The Syrian state news agency, SANA, reported late Saturday night that Israel had targeted the airport with missiles, activating air defenses, which shot down a number of the projectiles.
Airstrikes by Israeli forces destroyed a Boeing plane loaded with Iranian weapons, hours after it landed at the Damascus International Airport, media reports said Sunday.
Israel has said it will not tolerate Iran's presence in bordering Syria and has demanded its complete withdrawal.
Isaac winds slow to 45 miles per hour , heavy rain, high surf expected
Rip Currents: High risk for rip currents at all beaches today and likely into this weekend. A Tropical Storm Watch is in effect for Montserrat, St Kitts, Nevis, Saba and St Eustatius.
Those raids reportedly killed three Syrian soldiers.
Local sources reported the strike was aimed at Iranian military targets near the airport, and said at least four explosions were heard, adding there appeared to be an attack on an underground compound near the airport.
Syria is holding its first municipal elections since 2011 amid tensions with the country's self-administered Kurdish region, which is refusing to allow polls to take place.
After losing swathes of territory to rebel groups, President Bashar al-Assad's troops have regained the upper hand and are now in control of around two-thirds of the ravaged country.
They were bolstered by almost three years of air strikes by their key ally Russian Federation and Iranian, Iraqi, Lebanese, and other foreign fighters on the ground.