A "strategic centre for conspiracy and mischiefs of the Zionists was targeted by powerful precision missiles fired by the Islamic Revolutionary Guards Corps.", said a statement on Sepah News, the Guards' official website.

Earlier, security forces in Iraq's autonomous Kurdistan region said "a dozen ballistic missiles" targeted Iraq's northern city of Arbil, including US facilities, causing damage but no major casualties in the early hours of Sunday.

Sunday's attack on Arbil comes nearly a week after two officers from Iran's Revolutionary Guards were killed in Syria in a strike attributed to key US ally Israel.

Iraq, including the Kurdistan region, is home to a dwindling number of US troops who led a coalition fighting the Islamic State jihadist group. The US is a key ally of Israel.

The Guards had already warned on Tuesday that Israel, the Islamic republic's arch enemy, "will pay for this crime".

The Guards' statement on Sunday said: "once again, we warn the criminal Zionist regime that the repetition of any mischief will face harsh, decisive and destructive responses."

"We also assure the great nation of Iran that the security and peace of the Islamic homeland is the red line of the Iranian armed forces and they will not allow anyone to threaten or attack it," it added.

Washington has routinely blamed rocket and drone attacks against its interests in Iraq on pro-Iran groups who demand the departure of the remaining troops.

But cross-border missile fire is rare.