A dozen ballistic missiles targeted Iraq’s northern city of Arbil, including the U.S. consulate on Sunday.
The attack caused damage but no major casualties, Kurdish security forces said.
Kurdish authorities said the missiles came from beyond the eastern border, suggesting the source was Iran.
Iran wields considerable political and economic influence over its neighbor.
Iraq is home to a dwindling number of U.S. troops who led a coalition fighting ISIS.
Washington has blamed rocket and drone attacks against its interests in Iraq on pro-Iran groups, who have demanded the departure of the remaining troops.
Sunday’s attack on Arbil comes nearly a week after two officers from Iran’s Revolutionary Guard were killed in Syria in a strike attributed to Israel.