Israeli air strikes and ground-to-ground missiles that hit near the Syrian capital overnight to Monday killed at least 11 fighters including two Syrians, a Britain-based war monitor said.

The bombardment hit Iranian and Syrian targets around Damascus as well as near a military airport to the south of the capital, the Syrian Observatory for Human Rights said.

"We have started striking Iranian Quds targets in Syrian territory," the army said in a statement, in reference to a branch of Iran's Islamic Revolutionary Guards Corps.

The military warned the Syrian regime forces against "harming Israeli forces or territory".

Syria's official SANA news agency confirmed Israeli airstrike inside the war-torn country.

SANA, citing a military source, said Syrian air defenses intercepted missiles by Israeli forces and shot down most of them.