Several blasts hit Baghdad area as Iraqis mourn Iranian general in long funeral procession.
A projectile hit the Green Zone near the US embassy while several more were fired north of the Iraqi capital at Balad air base, which houses US forces.
Nobody was hurt in the attacks, Iraqi security sources said.
At least one rocket or mortar round hit Celebration Square in the Green Zone while another exploded in the city’s Jadria area, Iraqi security sources say.
After two rockets hit Balad air base, surveillance drones were sent up to locate the source, AFP news agency reports.
No group said it had carried out the attacks. Pro-Iranian militants have been blamed for other recent rocket attacks on US interests in Iraq.
Iranian leaders have vowed to avenge the killing of Qasem Soleimani, who was regarded as a terrorist by the US.
Iraqis were also mourning the death of Abu Mahdi al-Muhandis, an Iraqi who commanded the Iranian-backed Kataib Hezbollah group, who was killed along with Soleimani.
In response to Iranian threats of revenge, the US has sent 3,000 more troops to the Middle East and advised its citizens to leave Iraq.