"You know very well that not only do we not have any enmity with your country, but we also love you, the noble people, who understand the pain and oppression of the Palestinian people more than any other nation," the IRGC said in a statement carried by Fars News on Tuesday.
Jordan's armed forces said on Tuesday they intercepted and shot down four missiles that entered Jordanian airspace from Iranian territory, according to state news agency.
US forces completed their latest wave of strikes on Iran that the US Central Command began earlier in the day at the direction of President Donald Trump.
The five hours of US strikes were the third consecutive night of attacks against Iran as Trump reinstated a blockade of Iranian shipping and proposed charging a 20 per cent fee to guard the Strait of Hormuz.
Iranian media reported strikes on a number of the cities and said four people had been wounded and rescue operations were under way.
Trump earlier told the Hugh Hewitt Show on Monday that Iran would be hit "very hard tonight, and we're going to hit them hard tomorrow. And there's not a damn thing they can do about it."
The latest hostilities come after Iran said it was closing the Strait of Hormuz, casting further doubt on an interim deal to halt the war and driving oil prices higher.
"The Hormuz Strait is OPEN, and will remain OPEN, with or without Iran. We are reinstating THE IRANIAN BLOCKADE," Trump had said earlier on Monday on Truth Social.
"The USA. will be, from this point forward, known as 'THE GUARDIAN OF THE HORMUZ STRAIT', but as such, and as a matter of FAIRNESS, will be reimbursed, at the rate of 20% on all cargo shipped."
Iran's top joint military command said the US had no role in determining the future of the waterway, while Iranian Foreign Minister Abbas Araqchi wrote on X that Tehran was the guardian of the strait and would remain so "forever".
Before the conflict began in February, about a fifth of the world's oil and gas traffic passed through Hormuz daily, delivering more than 15 million barrels of fuel to global markets worth at least $US1.2 billion ($A1.7 billion).
If the US were to impose a 20 per cent fee, it could generate $US240 million a day.
The UN shipping agency pushed back against Trump's proposal, saying such fees had no legal basis.
Oil prices rose on Tuesday to their highest in four weeks.
The UAE defence ministry said on Monday that Iranian cruise missiles struck two Emirati oil tankers while transiting the southern lane of the strait in Omani territorial waters.
The IRGC said two "offending" supertankers had been hit and disabled in the strait after ignoring repeated warnings and turning off navigation systems, Iranian media reported.
It accused the US of "inciting vessels to use an illegal route" and warned that co-operation with the "aggressor enemy" would result in damage, delays in reopening the waterway and a global energy crisis.
The US Navy-led Joint Maritime Information Centre said a blockade of Iran would take effect on Tuesday and apply to all vessel traffic regardless of flag, covering the entire Iranian coastline including ports and oil terminals.
It said the measure would not impede neutral transit passage through the strait to or from non-Iranian destinations, and that humanitarian shipments would be permitted subject to inspection.
The US and Israel attacked Iran on February 28 and Iran responded with its own strikes on Israel and Gulf states that host US bases.
US-Israeli strikes on Iran and Israeli attacks on Lebanon during the war have killed thousands and displaced millions.
