Mr Trump smiled at the laughter before responding: "I didn't expect that reaction but that's okay".
"This terrible, one-sided deal allowed Iran to continue its path toward a bomb and gave the regime a cash lifeline when they needed it the most", Trump said.
He continued: "We can not allow a regime that chants "death to America" and that threatens Israel with annihilation, to possess the means to deliver a nuclear warhead to any city on earth".
"With all of this said, I want to thank Iran, Russia and Syria for - at my very strong urging and request - substantially slowing down their attack on Idlib province and the 3 million people who live there in order to get 35,000 targeted terrorists", Trump said.
But his calls for other countries to join US sanctions against Tehran were rejected by the other signatories of the 2015 nuclear deal with Iran - Britain, France, Russia, China, and Germany.
Though Trump tweeted in the morning that he believed he would meet in the future with Iranian President Hassan Rouhani and said he is "sure he is an absolutely lovely man", the president eviscerated Tehran.
"We are very keen on conducting a poll, how many Iraqis support the United States presence there", Rouhani said. Asked at an event in NY when it could be established, Mogherini said: "I believe before November".
"The United States will not tell you how to live or work or worship", Trump told the worldwide assembly.
"In the years since the deal was signed, Iran's aggression only increased", Trump said. The accord with OPEC member Iran was negotiated under Democratic US President Barack Obama.
"We will not be governed by an worldwide body that is unaccountable to our own citizens", Trump declared.
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"It will take a while; there will be a process to this", Pompeo said.
But, Mr Trump noted, the United States has recently begun to reimpose sanctions on the country and regime, and said another round of sanctions will go into effect on November 5.
On North Korea, Trump called for sanctions to be strictly enforced against Pyongyang - a message directed at Russian Federation and China which are pushing for an easing of punitive measures to reward North Korean leader Kim Jong Un.
"Not this year, nor last year", Rouhani told CNN on Tuesday.
Trump used his speech to call for global trade reforms and insist that his main objective as president is to protect American sovereignty.
The two leaders are trying to arrange a second summit.
"They're denuclearising North Korea".
Delivering a harsh message to OPEC members, Trump called on them to stop raising oil prices and to pay for their own military protection.
"We did not and will not interfere in any country's domestic affairs".