US is calling the missile attacks in Syria and Iraq reckless.
Washington has condemned Iran over the strikes.
The Revolutionary Guards said they launched ballistic missiles that hit Israeli spy headquarters in northern Iraq.
Missiles and drone attacks also targeted Erbil near the airport.
At least four people were killed and six wounded.
The prime minister of the semi-autonomous Kurdish region says the attack is cowardly.
Tehran also targeted ISIL in Syria in retaliation for bombings in Iran earlier this month.