It also reported that the missiles were shot down by the country's air defenses.
Syrian anti-aircraft defences have shot down missiles fired at the Syrian air base of Shayrat, in Homs province, and another base north-east of the capital Damascus, Syria's state television, official news agency and pro-Iranian Hezbollah media say.
The US and Israel have denied being behind the attack. Approximately nine missiles reportedly targeted the base; their source isn't yet clear.
"There is no US military activity in that area at this time", Eric Pahon, a Pentagon spokesman said. Social media reports are pointing the finger at Israel for the strikes.
Syria and its main allies Iran and Russian Federation blamed Israel for that attack.
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He said the U.S. administration under Trump's command is conflicted and taking "bizarre" decisions without a strategic vision. Some national leaders appeared anxious to avert a showdown between the USA and Russian Federation.
The air strikes came in response to a suspected gas attack in Douma, outside Damascus, earlier this month in which the World Health Organization has said 43 people who died suffered "symptoms consistent with exposure to highly toxic chemicals".
Big explosions were heard on Monday night near the same air base, southeast of the city of Homs, and in eastern Qalamoun near Damascus where two other air bases are located, the Syrian Observatory for Human rights reported.
Before the USA -led attack, Israeli warplanes had fired missiles on the T-4 airbase in the eastern countryside of Homs on April 9, killing 14 soldiers, including Iranian fighters.
Asked about the incident, an Israeli military spokesman said: "We don't comment on such reports".
Syrian government has strongly rejected the allegations as fabrication by the rebels and Western countries to justify a military attack on Syria.