There were worries, especially in Tokyo and Seoul, which have huge US military presences, about Trump agreeing to halt USA military exercises with South Korea, which the North has long claimed were invasion preparations.
North Korea's leader Kim Jong Un listens to U.S. President Donald Trump as they meet in a one-on-one bilateral session at the start of their summit at the Capella Hotel on the resort island of Sentosa, Singapore, June 12, 2018.
But US military officials point out exercises often involve thousands of troops and months of planning, making it hard to quickly restart them once suspended or canceled. "My worry is that the president keeps promising that Kim will give up his weapons".
"Make no mistake, we are going to maintain the readiness of our forces in South Korea", said one USA official, speaking on condition of anonymity.
The President also added that North Korea's promise to complete denuclearization "will be verified", though the document the two leaders signed did not lay out details of that process. After all, if there is no threat, why would the North Koreans need to give up their arsenal?
That discussion between Putin and Trump reportedly happened in summer 2017.
But much of the fear over imminent war past year was stoked in the first place by Trump's "fire and fury" rhetoric and boasts about the size of the USA nuclear button.
Only a few months ago, Kim and Trump were swapping personal insults such as "dotard" and "little rocket man" and the North conducted its sixth and most powerful nuclear test, as well as firing missiles over Japan.
And in spite of Mr Trump's announcement, Onodera said that Japan would continue its military exercises with the U.S. and will continue to improve defences against any possible North Korean strike.More news: Toyota pours $1 billion into ride-hailing firm Grab
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In Pyongyang, commuters crowded round the spread of images the first they had seen of the summit, for majority. "There is no longer a Nuclear Threat from North Korea", the president wrote on Twitter shortly after arriving back in Washington.
He also announced an unexpected end to US-South Korea military drills.
"When you objectively do the arithmetic this comes out overwhelmingly in Kim Jong-un's favour".
The Facts: He's wrong in suggesting his administration is the first to start on denuclearization with North Korea.
Pompeo said he was there when Trump talked about it with Kim, and the president "made very clear" that the condition for the freeze was that good-faith talks be ongoing.
"One can't completely denuclearize without validating, authenticating".
Trump's claim that North Korea no longer poses a nuclear threat is questionable. "Pyongyang will use this language to portray itself as a nuclear power, entitled to neglect its disarmament commitments just like the other nuclear powers". The issue of North Korea's abysmal human rights record, which Trump said he and Kim touched on during their summit, is also left to be addressed in a more formal way.
"Countries like Iran and Cuba and other two-bit rogue regimes don't have nuclear weapons, yet", Cotton told Hugh Hewitt.
It had never occurred to me that the leader of the totalitarian state might think of speaking to the press.