"That a man who has spent years working in a spying center, now - in the shoes of the foreign minister of the USA - wants to makes decisions for Iran and other countries is in no way acceptable", Rouhani said, according to the Iranian Students News Agency.
Prime Minister Benjamin Netanyahu applauded US Secretary of State Mike Pompeo's speech on Monday outlining the 12 steps Iran must take for sanctions relief, saying this is "the right policy".
He promised the "sting of sanctions will be painful" should Tehran not change course "from the unacceptable and unproductive path it has chosen to one that rejoins the league of nations".
The demands include giving the International Atomic Energy Agency a full account of the country's former nuclear military programme, withdrawing its forces from Syria and ending what Pompeo described as Iran's "threatening behaviour" towards its neighbours. "We didn't create the list", Pompeo said.
US President Donald Trump sparked an worldwide outcry earlier this month when he announced his country would pull out of the landmark accord struck in July 2015 between Tehran and major world powers.
"Iran will never again have carte blanche to dominate the Middle East", he said in outlining the new U.S. strategy on handling the Islamic regime, including 12 tough conditions from Washington for any "new deal" with Teheran.
Israel praised the Trump administration's decision to pull out of the pact but the move was roundly criticised by fellow signatories, including France, Germany, the United Kingdom and Russian Federation.
The fact is: The Trump team does not have a plan or a strategy for how to get Iran to do any of the things that the United States rightly wants.
GETTYBruno Le Maire and Christine Lagarde Talking trade
The EU said in a statement: "Secretary Pompeo's speech has not demonstrated how walking away from the JCPOA has made or will make the region safer from the threat of nuclear proliferation or how it puts us in a better position to influence Iran's conduct in areas outside the scope of JCPOA".
He said: "Our demands on Iran are not unreasonable: give up your program".
The US list also required Iran to cease backing Lebanon's Hezbollah, Gaza's Hamas, and the Palestinian Islamic Jihad. They want Iran to restart portions of the country's nuclear program, suspended since the accord took effect.
"These will be the strongest sanctions in history by the time we are done", Pompeo said.
Asked how the US will work with European nations to ease the impact of sanctions on their companies, Pompeo gave no ground.
Donald Trump announced on 8 May the United States would withdraw from the Iran Nuclear Deal and since then the USA has threatened to impose "the strongest sanctions in history" and "crush" Iranian operatives overseas and a move that has increased the likelihood of confrontation between Washington and Tehran. "Are these two not responsible for wasting Iranian lives throughout the Middle East?" Ponder how North Koreans recently released three American prisoners as a prelude to talks while the Iranians released no American prisoners until Obama provided a ransom that he and confused supporters said was not a ransom.
And he also strongly hinted that the Iranian people ought to overthrow their leaders.
"US diplomacy sham is merely a regression to old habits: imprisoned by delusions & failed policies-dictated by corrupt Special Interest-it repeats the same wrong choices and will thus reap the same ill rewards". Other analysts said the remarks amounted to a push for new leadership in Tehran and a return to traditional U.S. policy that could carry risks for the Trump administration.