Top Iranian negotiator Mohammad Baqer Qalibaf said in comments published by state media that the strait would remain shut until the U.S. met the conditions of an interim deal signed with Iran in June.
These conditions include the U.S. lifting its blockade of Iranian ports, lifting oil sanctions, releasing Tehran's frozen assets, and ending threats and military operations on all fronts, Qalibaf told parliament.
A memorandum of understanding signed on June 17 had set a 60-day time frame for a broader deal on Iran's nuclear programme and U.S. sanctions. That period elapsed on Monday and Trump said he had no plans to extend it.
The agreement, which declared the "immediate and permanent termination of military operations on all fronts," had quickly unravelled over a dispute about control of the Strait of Hormuz, the narrow waterway through which a fifth of global oil and liquefied natural gas flowed before the war.
Both Trump and Tehran have frequently switched between threats and more emollient rhetoric as they seek a way out of the crisis, which erupted when the U.S. and Israel launched strikes against Iran on February 28.
Iran remains open to dialogue with the U.S. but does not confuse negotiations with surrender, Mohammad Mokhber, an adviser to Iran's supreme leader, said on Tuesday, according to the semi-official Fars news agency.
Mokhber said military pressure and sanctions would not break Iran's resolve and that the country would defend its security, dignity and allies while not seeking war.
Even as Iran projects resilience in the war, its leaders are worried that a threat of more economic punishment could increase hardships, reignite unrest and further erode the Islamic Republic’s legitimacy, according to three Iranian officials.
Thousands of people have been killed in the conflict, mainly in Iran and Lebanon. Iran has bombed U.S. military bases and infrastructure in countries including Oman, Jordan, Kuwait, Israel, the United Arab Emirates and Saudi Arabia.
Benchmark Brent crude oil futures LCOc1 have surged during the conflict, hitting a peak of $126 a barrel, roughly 75% above pre-war levels. Brent crude futures settled up 20 cents on Tuesday at just over $91 a barrel.
For Americans who will vote in November congressional elections, gasoline prices have risen above $4 per gallon, up from less than $3 before the war, according to the automotive group AAA.