"Regional energy exports are either shared by all, or denied to all," the IRGC said in a statement carried by Iran's IRNA state news agency on Wednesday.
Analysts have said Iran has been signalling it may use its Houthi allies in Yemen to shut the Bab el-Mandeb gateway to the Red Sea, opening a new front against Washington and putting two of the world's most vital energy arteries at risk.
The narrow gateway links the Red Sea to the Gulf of Aden, through which Saudi oil exports and a substantial share of global shipping pass.
A senior Houthi official warned on Monday that the group was prepared to close the Bab el-Mandeb Strait - a move he said could send oil prices soaring to $US200 a barrel - if Saudi Arabia continued to attack Yemen, according to a report on Iran's Press TV website.
Houthi forces fired missiles at Saudi Arabia after accusing the kingdom of bombing an airport under their control on Monday, breaking a four-year truce in the conflict between the kingdom and the Iran-aligned group.
The Houthis have already shown they can choke global commerce through the Bab el-Mandeb.
After the Gaza war erupted in October 2023, the Iran-backed group launched attacks on commercial shipping in the Red Sea, saying it was targeting vessels linked to Israel in support of Palestinians.
The latest threat to global shipping comes a day after the US military said it began a fresh round of strikes "to continue degrading Iranian capabilities used to attack commercial shipping in the Strait of Hormuz".
The United States said Iran had attacked seven commercial ships in the past week, leading to nearly a dozen crew members being killed, missing or injured.
The US military said late on Tuesday that it hit dozens of military targets near the Strait of Hormuz and Iranian coastal areas.
At least 30 civilians had been killed in recent days due to the US strikes on southern Iran, state media reported on Wednesday.
Iran's army said at least seven active-duty and conscript personnel were killed in overnight US strikes on the Bampur military base in the country's southeast.
The IRGC said on Wednesday that the Strait of Hormuz would remain closed until what it described as "the end of America's evils".
Before the war began in February, about a fifth of global oil and gas shipments passed through Hormuz each day.
The Guards said they had targeted command-and-control, logistics, fuel and military equipment facilities belonging to the US Fifth Fleet in Bahrain, in response to the latest US strikes in the Strait of Hormuz.
They also said they had set fire to and destroyed a US logistics facility in Kuwait's Mina Abdullah and that their air force had struck what they described as a US base at Azraq in Jordan.
They said some of the US attacks had been launched from bases on Jordanian territory.
The hostilities between Iran and the US reignited last week, fraying an already fragile truce reached in June after several months of fighting that has killed thousands.
US President Donald Trump on Tuesday threatened to hit Iranian power plants and bridges next week unless Tehran resumed negotiations.
"I'll save the energy targets for last, but ultimately we'll hit energy targets," Trump said in an interview on Fox News.
US negotiators had been in touch with their Iranian counterparts to tell them "you better make a deal", Trump said.
As tensions escalated, Trump on Monday floated the idea of a 20 per cent fee on shipping through the strait, which drew sharp criticism from the UN shipping agency and others.
On Tuesday, he scrapped the idea and said, without providing details, that he would instead seek investment deals with Gulf states.
