An attack last month hit the US Embassy compound itself, and a rocket attack on a military base in the north in December killed a US civilian contractor.
There have been no claims for the attacks, Reuters reported.
Sunday’s attack, before dawn, was carried out with “small rockets” and caused no casualties, the coalition spokesman said in a statement on Twitter. He provided no further details.
An Iraqi military statement said three Katyusha rockets had hit the fortified Green Zone which hosts the US Embassy, other foreign missions and Iraqi government buildings. It said a fourth hit a nearby logistics base for Iraqi paramilitary groups.
Iraq faces an unprecedented domestic crisis as months of anti-government unrest continues.
Prime Minister-designate Mohammed Tawfiq Allawi said on Saturday that the formation of a new government would take place in the coming week.
He said his appointments would consist of independent ministers free from the influence of parties that have controlled cabinet posts and state institutions since the US-led overthrow of Saddam Hussein in 2003.
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