The denial of the attack contradicted an earlier report on Syrian state media that the country's air force had responded to a missile attack on two air bases in the center of the country, and had shot the missiles down, with air defenses knocking out all the missiles fired, except for one.
"There was no external attack on Syria", the source added.
The TV quotes an unnamed military official as saying on Tuesday that air defenses fired a number of missiles because of a false alarm, without providing more information.
According to websites affiliated with the Syrian regime, Syrian air-defense systems also picked up unidentified objects in the skies over capital Damascus, prompting speculation of a possible Israeli attack.
In April previous year, Shayrat airbase was targeted by US Tomahawk cruise missiles in a strike ordered by President Donald Trump in retaliation for a chemical weapons attack on Khan Sheikhun in Idlib in north-western Syria.
Assad denies he has used chemical weapons.
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Riyadh says open to sending troops to Syria
People ride a horse along a damaged street at the city of Douma in Damascus, Syria April 16, 2018. However, assembling a pan-Arab force is likely to be a challenge.
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It didn't say who carried out the early Tuesday airstrikes.
Amid the growing tensions between Damascus and Jerusalem, Syria claimed on Tuesday that it shot down several missiles that were headed toward an airbase near Homs.
Both the United States and Israel appeared to deny involvement in the overnight incident, which would have been the third time that Homs province was bombed in just over a week.
Syria's armed forces commenced a major attack on rebels in eastern Qalamoun, Geo News reported citing Arab media, in what comes as Damascus translating its prior warnings into reality.
Earlier this month, four Iranian military personnel were killed in an airstrike on the Syrian T4 air base in Homs.