In the shaky video, a small, bright explosion is seen in the night sky.
Reports in Syrian media said that Russian-made S-200 air defense systems were destroyed in the missile attack.
AFP's correspondent in Damascus heard a loud blast late Saturday, followed by several smaller explosions.
A spokesperson for the Israel Defense Forces said Israel does not comment on foreign reports.
Douglas Costa sent off for spitting in mouth of opponent
Cristiano Ronaldo has ended a 320-minute wait for his first Juventus goal by netting against Sassuolo . Costa became involved in a running feud with Sassuolo midfielder Federico Di Francesco .
The Britain-based Syrian Observatory for Human Rights said the attack targeted an arms depot near the airport where new weapons recently arrived for the Iranians or their Lebanese proxy, the Hezbollah terror group.
He had no immediate information on casualties.
An Israeli official said earlier this month that the targets were connected to Iran's elite Al-Quds force and included air force components, support infrastructure, and weapons storage and manufacturing facilities.
The Syrian News Agency (SANA) confirmed that Israel bombed the Damascus airport on Saturday evening.
Paulo Dybala insists Cristiano Ronaldo’s move to Juventus is going ‘brilliantly’
Dybala was speaking with the media after playing for his country in the goalless draw against Colombia on Tuesday. It was claimed over the summer that Liverpool held talks with Juventus over a potential move.
Israel has vowed to prevent its arch-foe Iran, which is a main backer of Syria's government, from gaining a foothold in neighboring war-torn Syria.
Syrian troops now control around two-thirds of the country after scoring a series of military victories in recent months, including around Damascus and in the country's south.
A Syrian soldier waves the national flag in the city of Quneitra in Syria's Golan Heights on July 27, 2018.
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.
Andy Dalton throws 4 touchdowns as Bengals beat Ravens 34-23
The Ravens defense shot themselves in the foot with penalties, committing four on third-down, three of which extended drives. It wasn't fancy, but they exploited matchups against the Bengals linebackers who struggled in coverage.