The pilots of the Apache attack helicopter have been rescued, President Donald Trump has said

US President Donald Trump has confirmed media reports of a US Army Apache attack helicopter going down near the Strait of Hormuz amid Washington's efforts to curb oil shipments by Iran.

The Apache choppers are one of the key aircraft used by the US military to enforce the blockade of Iranian ports, which had been imposed by Washington to pressure Tehran into agreeing a peace deal and restoring traffic through the strait. The key waterway, which the Iranians control, accounts for some 20% of the global crude oil trade.

"The pilots are fine, nobody injured," Trump told journalists when asked about the incident on his way back from the third game of the NBA finals in New York late on Monday.

The Apache, which has been in service since the mid-1970s, is usually operated by two airmen.

The New York Times first reported the crash earlier on Monday. The newspaper did not say whether the helicopter had been brought down by hostile fire or suffered a technical malfunction.

Last month, the Congressional Research Service issued a report based on open-source materials, claiming that the US had lost at least 42 aircraft, both manned and unmanned, since the start of the American-Israeli attack on Iran on February 28.

In early April, Washington confirmed that two MC-130J Hercules transport planes, four MH-6 Little Bird helicopters, an A-10 Thunderbolt and an MQ-9 Reaper drone had been destroyed during an operation to recover the pilot of an F-15E Strike Eagle that had been downed by Iranian forces. Iranian officials have, at various points during the conflict, claimed that additional US aircraft were shot down, but many of those assertions have not been acknowledged by Washington.

Israel and Iran carried out strikes against each other on Monday in the worst escalation since the start of the April ceasefire between Washington and Tehran. The Iranian authorities claimed that the US bore "direct responsibility" for Israeli strikes on the Lebanese capital, Beirut, which triggered the exchange.

Despite those developments, Trump claimed that "we're very close to having a very, very good, strong, powerful deal" with Iran that could be signed in "two or three days." 

Tehran has rejected American demands to give up its stockpile of highly enriched uranium, while insisting on sanctions relief, the unfreezing of its assets, and an end to Israeli military operations against Hezbollah in Lebanon even before a final agreement is reached.

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Iran's chief negotiator, Mohammad Bagher Ghalibaf, said on Monday that his country's "goal is to end the war and establish lasting security" through diplomatic and military means, adding that Tehran has "no trust" in the US.