"I confirm the vote and appoint you as President of the republic", Khamenei said in front of a packed audience of Iranian officials.
Trump, who during his election campaign a year ago called 2015's nuclear agreement "the worst deal ever", signed new sanctions into law on Wednesday, along with measures against Russian Federation and North Korea. French company Total defied United States pressure in July by signing a multibillion-dollar gas deal with Iran.
The new USA sanctions against Iran, part of the recently adopted law which also targets Russian Federation and North Korea, constitute a violation of the landmark 2015 Iranian nuclear deal, and will lead Tehran to react in kind, according to a senior Iranian official.
The mounting crisis creates a hard situation for Rouhani, a 68-year-old moderate who won a second four-year term largely thanks to his efforts to fix relations with the West.
Religious, military, and political leaders attended the August 3 ceremony, which was broadcast on Iranian state television.
Araqchi said Tehran's response would be "intelligent".
"My Administration will give careful and respectful consideration to the preferences expressed by the Congress in these various provisions and will implement them in a manner consistent with the President's constitutional authority to conduct foreign relations", Trump said in the statement.
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Patel, Congress president Sonia Gandhi's political secretary, seemed to have the requisite numbers for now. Congress leader Anand Sharma said it is now becoming a trend to blatantly misuse powers of the state.
The move by Trump is likely to embolden his hardline critics, who say the nuclear deal was a form of capitulation.
In July, the Trump Administration had already introduced new United States sanctions against Iran over what it said were "malign activities across the Middle East" - even though Washington acknowledged that Tehran had been adhering to the 2015 nuclear agreement. "Now in Iran, there is a growing debate if these sanctions violate [the nuclear deal] or not".
Separately, on July 28, the Trump administration sanctioned six Iranian entities after Iran tested a space launching device.
Tehran's pursuit of ballistic missiles, controversial nuclear program, support for proxies across the Middle East and fueling sectarian strife has gained widespread attention across the global community.
The deal has seen European countries flocking back to invest in oil-rich Iran, with the French energy giant Total agreeing to develop a new phase of the South Pars natural gas field, the world's largest.
The bill seeks to ban anyone dealing with Iran's ballistic missile programme from entering the US, and blocks transactions on properties held in the U.S.by people associated with the programme.
Amnesty said the criminal case against Mohammadi was opened in reprisal for a 2014 meeting she had with Mogherini's predecessor, Catherine Ashton.