President Donald Trump said Monday that the United States would likely take control of the Strait of Hormuz and should be compensated for overseeing the strategic waterway.

"We're going to keep the strait and ⁠we'll probably run it. We'll become ⁠the guardian of the strait. Maybe we'll call it the guardian angel of the strait. And we should be reimbursed ​for that," he said in a phone interview ​on ⁠Fox News' "Fox & Friends" program.

Control of the Strait of Hormuz, a vital route for global oil supplies, has become one of the main battlegrounds of the conflict. Iran's effective blockade of the strait has pushed up energy prices and increased concerns about inflation globally.

"We're going to guard it. We're going to get paid for guarding it – a lot of money," Trump said. "We're going to be reimbursed, because the other nations are very wealthy. They're on our side, and we can't be ⁠expected ⁠to do that for nothing," he said.

After announcing the waterway's closure Saturday following what it described as an unauthorized transit, Tehran said Sunday that passage remained suspended and that permits would be issued once "stability and calm" were restored.

"We had a deal. It was a done deal, and then they broke it. They always break it. We've had 10 deals with these people, and so we're ⁠just going to hit them very hard," Trump said.

Iran's Revolutionary Guards said in a statement Monday that the only way to restore regular shipping traffic ​through the strait was to end U.S. military interventions in the waterway and warned ​that "continued interference could lead to greater incidents in the global oil and gas sector."

U.S. and Iranian forces exchanged heavy missile ⁠and drone attacks over ‌the weekend and into Monday, with Tehran ⁠saying it had struck U.S. military facilities across ‌the Gulf and kept the Strait of Hormuz closed, driving oil prices higher.

The latest ​exchanges mark a sharp ⁠escalation in both the pace and geographic reach of ⁠attacks over the past week, casting doubt on an interim U.S.-Iranian ⁠agreement signed last ​month to reopen the strait and halt hostilities while the sides pursued a further 60 days of negotiations.

They were supposed to negotiate a permanent end to the war and an agreement on Iran's disputed nuclear program. Instead, a series of attacks over the strait have raised fears of a return to all-out war and further disruption to the global economy.

Oil prices jumped nearly 5% on Monday before falling back. U.S. benchmark crude, which had risen to nearly $120 a barrel at the height of the war, was trading at around $72.92. Markets were mixed.

The U.S. military's Central Command described its forces as hitting dozens of sites in the strikes Monday, including air defense systems, radar sites, missile and drone equipment, and small boats.

The European Union's top diplomat, Kaja Kallas, called for the strait to be open, as it was before the war. "Freedom of navigation has to be respected," she said.

Iran's paramilitary Revolutionary Guard, a key power center in the country's theocracy that controls its ballistic missile arsenal, sharply rejected America's statement.

"The Strait of Hormuz is our territory, and we will not allow a rogue and child-killing army from the other side of the world to continue its illegal interference in it," the Guard said.

Missile alert sirens sounded three times Monday in Bahrain, home to the U.S. Navy's 5th Fleet, and Kuwait said it was intercepting hostile fire. There was no immediate word on damage in either country.

In Jordan, the kingdom's military said it shot down four Iranian missiles in an incident that "resulted in zero casualties or material damage." Jordan also hosts U.S. military forces and aircraft.

In Iran, authorities reported attacks in Hormozgan, Khuzestan and Markazi provinces and at least two people were killed, according to state-run IRNA news agency. Semiofficial Iranian media also reported strikes in the eastern Sistan and Baluchestan province, on the coast of the Gulf of Oman.

The attacks continued hours after the U.S. ended its strikes – again raising the possibility of Gulf Arab states retaliating against Iran. There were unclaimed attacks on Iran on Thursday as well.

Early Sunday, the U.S. military said it hit some 140 targets, including missile and drone launch sites, ammunition dumps and communication equipment – a far-heavier set of attacks than in two previous rounds of strikes in the last week.

"We bombed the hell out of them last night," Trump told NBC's "Meet the Press."

Iran retaliated by attacking nations in the region hosting U.S. military forces, while insisting it alone must control the strait and potentially charge vessels for traveling through it.

Sunday's attacks stretched to Bahrain, Kuwait, Qatar, Jordan and even Oman – which shares the strait with Iran. Oman, which has long been an interlocutor between Tehran and the West, summoned an Iranian diplomat to criticize the attack.

Iran described the strait as closed, while the U.S. military and Trump asserted it remained open.

Iran's chokehold on the strait has loosened as the U.S. military supports vessels moving along a southern route hugging the coastline of Oman. That new route has angered Iran, which has launched repeated attacks on ships using it.

Traffic through the Oman route dropped over the weekend "to minimal levels, indicating that operators continue to prioritize perceived security over more direct transit options," the ship-tracking website MarineTraffic.com said.

Iran's Foreign Ministry spokesperson Esmail Baghaei blamed Washington for the chaos gripping the Middle East.

"Considering the memorandum of understanding's 14 clauses, the Americans have, in this brief period, in one way or another, slaughtered its various components," Baghaei told journalists Monday.

Baghaei also said Iran wouldn't agree to visits by the International Atomic Energy Agency to Iranian nuclear sites bombed in 2025 by the U.S., where Tehran's stockpile of highly enriched uranium is believed still to be.

Trump suggested last week that the interim deal in the war was "over." But mediators, including Pakistan, Qatar and Egypt, have continued efforts to reach a final agreement to end the war.

A regional official involved in mediation, speaking on condition of anonymity to discuss the sensitive talks, said efforts to shore up the ceasefire continued Sunday. Pakistan said its foreign minister spoke by phone with Iran's top diplomat and urged "de-escalation" on both sides.

Iran's new supreme leader, Ayatollah Mojtaba Khamenei, has not been seen in public since the war began. On Saturday, he vowed to avenge the killing of his father and predecessor, Ayatollah Ali Khamenei, in the U.S. and Israeli strikes that sparked the war.