In addition to the dead, there are several injured, some in critical condition, according to reports.
Meanwhile, a Damascus hospital official told local media that the bodies of at least three dead were brought to the medical facility following the rocket attack. There were also two injured people.
Some reports suggest that the death toll may be higher, as may as 12 people. The Israeli military has not commented on the incident.
Meanwhile, multiple photos and videos, purportedly showing the aftermath of the rocket strike are circulating online.
Earlier, a source in the city police told Sputnik that a residential building in the Kafar Sousah district of Damascus came under Israeli strikes on Saturday night.
A Sputnik correspondent reported that strong blasts were heard in the Syrian capital. Syria's state media reported that air defense systems were repelling a rocket attack over Damascus and that the "Israeli aggression" resulted in several injured and dead.