
Air defences intercepted the rockets, they added.
Two security sources said an initial investigation showed three rockets were fired, including one that landed near buildings used by Iraqi counter-terrorism forces causing damages and fire to some vehicles with no casualties.
A US diplomatic facility in Baghdad came under attack late on Sept 11 but there were no reports of casualties.
A US embassy spokesman did not immediately respond to a request for comment on the attack.
Iraq, a rare regional partner of both the US and Iran, hosts 2,500 U.S. troops and also has Iran-backed armed factions linked to its security forces.
Iran-aligned armed groups in Iraq have repeatedly attacked US troops in the Middle East since the Gaza war began.