"No nation on Earth has an interest in seeing this band of criminals arm itself with nuclear weapons and missiles", Trump said of North Korea, calling it a "depraved regime".
Shortly before Mr Trump's combative address, UN Secretary-General Antonio Guterres had appealed for statesmanship when it comes to North Korea, warning: "We must not sleepwalk our way into war". "Rocket Man is on a suicide mission for himself and for his regime", he added, deploying a Trumpian insult he had first debuted on Twitter days before.
After threatening to destroy North Korea, Trump offered similarly overheated rhetoric about Iran.
Before Trump's address, a top White House aide had said that Trump wpid take aim at "rogue regimes that threaten world stability and peace", singling out Pyongyang and Tehran during his 30-minute remarks and urging responsible nations to step in to curb their behavior.
In an indictment of the worldwide body, Mr. Trump said the Iran nuclear deal provides a "cover for the potential construction of a nuclear program" in the region, an outcome that the US would not tolerate.
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"Exiting such an agreement would carry a high cost for the United States of America", Rouhani said Monday in an interview with CNN, "and I do not believe Americans would be willing to pay such a high cost for something that will be useless for them".
He said other countries can learn from his nationalism to put their peoples' needs first but also co-operate with other countries to beat back the threats to the world. It's unlikely many other presidents would have used the world's premier global stage to bestow a nickname like the one Trump levelled at Kim Jong Un.
"The American people hope that one day soon the United Nations can be a much more accountable and effective advocate for human dignity and freedom around the world", he later added.
That was thoroughly absent from this address, which clearly bore the stamp of Stephen Miller, Trump's bellicose policy adviser, who surely must have been the last to be picked for sports teams when he was a youth.
During his remarks on Monday, Trump made reference to his campaign slogan from previous year and said "I think the main message is "Make the United Nations Great" - not again", he said.
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Trump told world leaders that he would not insist their countries adopt USA values. But the issues at the United Nations are broader, and the geographic spread of Trump's audience wider.
Turning to Iran, Trump called the 2015 nuclear deal negotiated by his predecessor, Barack Obama, was an embarrassment and hinted that he may not recertify the agreement when it comes up for a mid-October deadline.
Any American president's first speech to the U.N.is an important opportunity for the world to get a sense of his views on foreign affairs and United States' role in the world.
Trump has often chafed at global agreements that he sees as insufficiently favorable to the U.S. One of his first moves in office was to withdraw from a 12-nation Asia-Pacific trade deal. "But in fulfilling our obligations to other nations we also realize it's in everyone's interest to seek a future where all nations can be sovereign, prosperous and secure". "We are prepared to take further action if the government of Venezuela persists on its path to impose authoritarian rule on the Venezuelan people".
After the speech, Trump told reporters: "I think it went really well".
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The US dollar index was down 0.4 per cent against a basket of currencies, making oil cheaper for holders of other currencies. A worker checks the valve of an oil pipe at Nahr Bin Umar oil field, north of Basra, Iraq December 21, 2015.
Touching upon a booming United States stock market, a recovering Europe, a diminished middle class and the threat of terrorism, Trump's speech bounced between the two poles of hope and horror. That's what the United Nations is for.