Iran said the Strait of Hormuz would remain closed unless the United States accepts conditions put forward by Tehran, rejecting US claims that Washington has totally controlled the strategic waterway.

US President Donald Trump said on social media on Wednesday that "the USA has complete control of the Strait of Hormuz," calling the ongoing US naval blockade a "wall of steel" and declaring that "Iran is powerless to do anything about it."

The US Central Command said on Wednesday that American forces continued enforcing a maritime blockade against Iran. As of August 12, the operation had forced 59 commercial vessels to reroute, disabled three vessels and boarded two others for inspections, according to the command.

Iran's Persian Gulf Strait Management Authority said on Wednesday that repeated claims by US officials that the Strait of Hormuz had reopened did not reflect reality.

"The Strait of Hormuz remains closed and will not be reopened unless the United States accepts the conditions proposed by Iran," the authority said.

The latest developments came as US-Iran negotiations remained deadlocked, with the two sides still divided over issues including the status of the Strait of Hormuz, Iran's nuclear program, compensation for the conflict and the unfreezing of Iranian assets held overseas.

Earlier, after Iran demanded that the US pay compensation for the military conflict and made it one of the conditions for reopening the strait, Trump unexpectedly issued a counterclaim on August 10, demanding that Iran pay compensation for the deaths of US service members over decades.

Several Iranian diplomatic missions abroad have since rejected Trump's claims.

The Iranian Embassy in Tunisia listed 19 alleged US actions against Iran, including the July 3, 1988 downing of Iran Air Flight 655 by a US Navy cruiser and a February 28 attack on a school in Minab, Iran, which Tehran attributed to the US. The embassy said in a social media post that over the past century, the US has directly or indirectly caused the deaths of hundreds of thousands of Iranians.

The Iranian Embassy in South Africa also said on social media that the US should compensate Iran for what it described as more than seven decades of hostile actions, interference and exploitation, including coups, sanctions, the downing of an Iranian passenger plane over the Persian Gulf, interference in Iran's internal affairs and the assassination of Iranian leaders and senior officials.

Regarding Trump's claim that Iran should compensate the families of victims of the USS Cole attack, US analysts noted that the October 2000 bombing of the US Navy destroyer in Yemen's port of Aden, which killed 17 American service members, had been attributed by the US Federal Bureau of Investigation to al-Qaida, not Iran.

Meanwhile, according to Qatari media reports on Tuesday, Charles Kupchan, a former special assistant to US President Barack Obama, described Trump's demand for compensation from Iran as "a joke."

Amid rising tensions, UN Secretary-General Antonio Guterres on Wednesday called for dialogue and negotiations to reach a comprehensive and lasting settlement to the conflict in the Gulf and the Red Sea.

Farhan Haq, the UN chief's deputy spokesperson, said Guterres was closely monitoring developments related to the Middle East conflict, including the situation in and around the Strait of Hormuz and the Red Sea.

"The secretary-general remains convinced that a comprehensive and durable settlement can only be reached through dialogue and negotiations," Haq said. "Such a settlement would help restore stability and confidence across the region, while also safeguarding the navigational rights and freedoms in and around the Strait of Hormuz and in the Red Sea."