While a wave of similar attacks that began in October has since eased, the latest strike came three days ahead of US-Iraqi talks as part of a "strategic dialogue" including on future military cooperation.
A security official told AFP that the attack caused "no casualties or damage".
Baghdad International Airport is closed under coronavirus lockdown measures in Iraq, which has reported some 13,000 cases including 400 deaths from the disease.
Monday's rocket fire was the 29th such attack against American troops or diplomats since October.
None of the attacks have been claimed, but Washington has accused armed groups backed by its arch-enemy and Iraq's neighbour, Iran.
The US withdrew its forces from Iraq in 2011, eight years after leading the invasion that toppled dictator Saddam Hussein and set off a bitter sectarian conflict.
Thousands of American soldiers were redeployed to the country from 2014 onwards as part of a coalition battling the Islamic State group.
In January a US drone killed Iran's powerful military commander Qassem Soleimani near Baghdad airport, sparking a new escalation in tensions between Washington and Tehran.
In response, Baghdad's parliament voted to expel all foreign soldiers from Iraqi territory, but the decision was never implemented.
Follow us on Twitter and Instagram to stay connected