A few hours later, Iranian Foreign Minister Mohammad Javad Zarif fired back.
Mr Rouhani's remarks were his first since Mr Trump warned his Iranian counterpart of dire consequences for threatening the United States. Or when the U.S. Navy fired warning shots at speedy Iranian military boats.
This speech happened just three weeks before the US's banking sanctions on Iran will roll back into place, following the US's withdrawal from the 2015 nuclear deal in May.
Ambassador John Bolton says he's spoken with Trump over the last several days and, "President Trump told me that if Iran does anything at all to the negative, they will pay a price like few countries have ever paid before".
Survivor recounts boat accident that killed 9 family members
She thanked people she dubbed "angels" who jumped into the water and helped pull her to safety. She described her love for each of them and described how tough her new journey would be.
The price of gold soared more than 30 percent over a single day recently because of all the Iranians rushing to buying the yellow metal, commonly viewed as a good way to preserve wealth in volatile times. And Saudi Arabia, whose leaders have worked to build a cozy relationship with Trump, has been after Trump to curb Iran's influence in the region.
A senior commander of Iran's Revolutionary Guard was quoted in Iranian media saying "Iran will resist pressure from the enemies" and that Trump's threats against the country amounted to "psychological warfare", Reuters reported. Analysts say activists inside Iran see a connection between the worldwide tensions and the worsening economics. Trump said in May that he was withdrawing from the agreement signed by the Barack Obama administration.
"We have a bit of a Goldilocks problem when it comes to Iran on a number of levels, and this is one of them", she said.
The escalation in rhetoric came as the Trump administration has launched an offensive of speeches and online communications meant to foment unrest and help pressure Iran to end its nuclear program and its support of militant groups, according to USA officials familiar with the matter, reported Reuters. But that approach faces an uncertain future now that Washington has withdrawn from the nuclear deal with Iran, and quickly moved to use its tremendous economic leverage to pressure all other nations to stop importing Iranian oil, the life-blood of the Iranian economy.
"One council member has moved away from the deal", Skoog said of the Trump administration's withdrawal from the 2015 agreement, "so of course that makes it hard for the Council to express itself, but the great majority of Council members and certainly members of the United Nations are fully behind the dealthat was struck".