The IRGC said the attack was over "recent crimes of the fake Zionist regime" and warned of a harsher response in the future.

"Last night, the 'Strategic Center of Conspiracy and Evil of the Zionists' was targeted by powerful and point-to-point missiles of the IRGC," said the IRGC in a statement.

"Any repetition of attacks by Israel will be met with a harsh, decisive and destructive response," the statement added. Israel killed two Iranian members of the Revolutionary Guards earlier this week in Syria.

It is unclear whether the statement was referring an alleged Israeli airstrike that recently killed two IRGC officers near Damascus, Syria, or other Israeli strikes.

Hezbollah-affiliated Al Mayadeen news outlet cited Iranian sources as saying Sunday's strike targeted Mossad headquarters in Erbil. The report also alleged that four Israeli agents were killed and seven more were wounded in the attack.

A US defense official said there was no damage and no casualties at the US consulate, contradicting statements by Iraqi officials who said the new consulate building sustained several missile hits.

The US condemned what it called an "outrageous attack against Iraqi sovereignty and display of violence," the official said in a statement.

Iraqi Prime Minister Mustafa Al-Kadhimi responded to the attack, tweeting: "The aggression which targeted the dear city of Erbil and spread fear amongst its inhabitants is an attack on the security of our people. I discussed these developments with the KRG PM. Our security forces will investigate and stand firm against any threats towards our people."