Today, he said, "will be a memorable day in the history of our country's diplomacy".
Rouhani added should the US try to "bully" others into adhering to its declaration of reinstating UN sanctions, Iran will have a "decisive response" to match.
Pointing out how the US tried to garner the support of other nuclear deal signatories following its unilateral withdrawal from the nuclear deal, Rouhani said the United States expected Iran to act irrationally, giving it an excuse to form an international coalition against the Islamic Republic.
"Today we can say the 'maximum pressure' of US against the Iranian nation, politically and legally, has turned to 'maximum isolation' for the US."
The president also addressed the five remaining signatories of the nuclear deal, reiterating the promise that if they fully adhere to their commitments under the accord, Iran will also fully implement its commitments.
Exactly one year after the US abandoned the nuclear deal, Iran started gradually scaling down its commitments, including those concerning its stockpile of enriched uranium. Iran still continues to grant access to the International Atomic Energy Agency (IAEA).
In a letter to the Security Council, the European signatories to the deal - Britain, France and Germany, or E3 - stressed UN sanctions relief for Iran would continue, adding any decision or action to reimpose them "would be incapable of legal effect".
UN Secretary-General Antonio Guterres also told the council he would not take any action on the US declaration because "there would appear to be uncertainty whether or not any process ... was indeed initiated".
Ladies and Gentlemen, the UN has just told the US "no."