The ministers said the Iran deal is "crucial for the security of Europe, the region and the entire world", and the European Union issued a "blocking statute" Monday to protect European businesses from the impact of the sanctions. They presage tougher sanctions against imports of Iranian oil that will go into force in early November, although the administration signaled it will consider partial exemptions to that ban.
The EU has taken the unprecedented step in a bid to salvage the nuclear deal struck with Iran in 2015.
The U.S. move has dismayed America's European allies trying to preserve the nuclear deal.
US Secretary of State Mike Pompeo said sanctions are an important pillar in US policy toward Iran and will remain in place until the Iranian government radically changes course. She made the announcement on the same day renewed USA trade sanctions against the Islamic Republic restarted. He said Tehran has always believed in resolving disputes diplomatically.
So-called snapback sanctions, due to come into force early on Tuesday, target Iranian purchases of USA dollars, metals trading, coal, industrial software and its auto sector.
"We've seen company after company announce that they are getting out of Iran", the officials said. "I am asking for WORLD PEACE, nothing less".
But a second tranche coming into effect on November 5 covering Iran's vital oil sector, could be far more damaging - even if several key customers such as China, India and Turkey have refused to significantly cut their purchases.
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European allies said they "deeply regret" the USA action.
But the European Commission has implemented a previously unused regulation that seeks to cancel the effect of the U.S. policy on European companies doing "legitimate business" with Iran.
The United States continues to stand with the long-suffering Iranian people, who are the rightful heirs to Iran's rich heritage and the real victims of the regime's policies, indicated the statement.
"If you're an enemy and you stab the other person with a knife, and then you say you want negotiations, then the first thing you have to do is remove the knife", he said in an interview on state television. "But talks need honesty", Rouhani said.
John Glaser, director of foreign policy studies at the Cato Institute, noted that the United States sees the sanctions "as a tool to pressure Iran to come back to the negotiating table to rehash the nuclear deal on terms more to Trump´s liking".
There have been protests in Iran against rising prices, and the government has responded firmly.
Iran's central bank, acting on the eve of the United States move, scrapped most currency controls introduced this year in a bid to halt a plunge in the rial that has stirred protests against the government.
"We can already see positive results from what Trump did".