The Iraqi Interior Ministry confirmed the Sunday attack, but said that it has not caused any damages or casualties, Press TV reported.
A US military base, named Victoria, is sited near the airport.
Last Saturday, two Katyusha rockets had hit the heavily fortified Green Zone of Baghdad where the US embassy is located.
The fortified zone has been repeatedly targeted by Katyusha rockets in recent months.
Washington, each time, has been quick to point the finger at popular anti-terror groups, which are now integrated into Iraq's armed forces.
The US has time and again targeted positions of Iraq’s Popular Mobilization Units (PMU), also known as Hashd al-Sha’abi, after blaming the major anti-terror force for the rocket attacks. The popular group has strongly denied any involvement in the strikes.