Six missiles targeted the Shayrat airbase in the central province of Homs and the Syrian air defences intercepted majority, Xinhua reported citing the report, adding that three other missiles targeted the Dumair airbase in the Dumair area in the eastern Qalamoun region north of Damascus and were all intercepted before reaching their targets.
Israeli military representative claimed: "We do not comment such messages".
Israel has struck Syrian military targets before and was blamed for strikes earlier this month on the T4 air base in Homs.
"State television showed pictures of a missile but did not report on three missiles that were fired at Dumair military airport, northeast of Damascus", the message said.
"There is no US military activity in that area at this time", Eric Pahon, a Pentagon spokesman said.
Shayrat was hit previous year by USA cruise missiles, launched in response to a chemical attack that killed at least 70 people in the rebel-held town of Khan Sheikhoun.
The reports came just a few days after the United States, Britain and France conducted airstrikes targeting alleged chemical weapons facilities in Syria, in retaliation for a suspected poisonous gas attack.
Dumair is used by Syria's military to support the campaign against rebels in eastern Ghouta.
Also, the Israeli warplanes fired missiles on the T-4 airbase in the eastern countryside of Homs on April 9, killing 14 soldiers, including Iranian fighters, according to the Syrian Observatory for Human Rights. "We do not have additional details to provide".
Qassem said the powerful militia did not fight in all the main battles in Syria but was present in any area that was needed.
Israeli Prime Minister Benjamin Netanyahu said after the US, British, and French strikes in Syria his country will continue "to move against Iran in Syria".