Critics have said the unprecedented encounter in Singapore was more style than substance, producing a document that was short on details about the key issue of Pyongyang's atomic weapons.
But in a characteristically bullish tweet, Trump said the first-ever meeting between sitting leaders of the two Cold War foes meant "the World has taken a big step back from potential Nuclear catastrophe!"
"No more rocket launches, nuclear testing or research! The hostages are back home with their families. Thank you to Chairman Kim, our day together was historic!"
The World has taken a big step back from potential Nuclear catastrophe! No more rocket launches, nuclear testing or research! The hostages are back home with their families. Thank you to Chairman Kim, our day together was historic! — Donald J. Trump (@realDonaldTrump) June 13, 2018
In the joint statement following talks on Tuesday, June 12, Kim agreed to the "complete denuclearization of the Korean Peninsula" – a stock phrase favored by Pyongyang that stopped short of long-standing US demands for North Korea to give up its atomic arsenal in a "verifiable" and "irreversible" way.
The official KCNA news agency ran a glowing dispatch, describing the summit as an "epoch-making meeting" that would help foster "a radical switchover in the most hostile (North Korea)-US relations".
The report said the two men "gladly accepted" mutual invitations to visit each other's countries.
KCNA also asserted Trump had "expressed his intention" to lift sanctions against the North – something the US president had told a blockbuster press conference would happen "when we are sure that the nukes are no longer a factor".
"The sanctions right now remain," he added.
With the headline: "Meeting of the century opens new history in DPRK-US relations", the North's ruling Workers Party official daily Rodong Sinmun splashed no fewer than 33 pictures across 4 of its usual 6 pages.
One of the pictures showed a smiling Kim shaking hands with Trump's hawkish National Security Advisor John Bolton, who has previously advocated military action against the North, which in turn has referred to him as "human scum."
In Pyongyang, commuters crowded round the spread of images, for most of them the first they had seen of the summit.
Pyongyang has reason to feel confident after the meeting, where the leader of the world's most powerful democracy shook hands with the 3rd generation of a dynastic dictatorship, standing as equals in front of their nations' flags.
The spectacle was a major coup for an isolated and heavily sanctioned regime that has long craved international legitimacy.
"Kim Jong Un got what he wanted at the Singapore Summit: the international prestige and respect of a one-on-one meeting with the American president, the legitimacy of North Korean flags hanging next to American flags in the background," said Paul Haenle, director of the Carnegie-Tsinghua Center.
In his post-summit press conference, Trump made the surprise announcement that the US would halt joint military exercises with its security ally Seoul – something long sought by Pyongyang, which claims the drills are a rehearsal for invasion.
The US stations around 30,000 troops in security ally South Korea to protect it from its neighbor, which invaded in 1950 in an attempt to reunify the peninsula by force.
"We will be stopping the war games which will save us a tremendous amount of money," Trump told reporters, adding that "at some point" he wanted to withdraw US troops from the South.
Both Seoul and US military commanders in the South indicated they had no idea the announcement was coming, and in an editorial Wednesday the Korea Herald said it was "worrisome".
And Japan's Defense Minister Itsunori Onodera pointedly said the drills played a "vital role in East Asia's security."
Smiles and handshakes
Only a few months ago, Kim and Trump were swapping personal insults such as "dotard" and "little rocket man" and the North conducted its 6 and most powerful nuclear test, as well as firing missiles over Japan.
Trump vowed to rain down "fire and fury" on Pyongyang if it threatened the US but instead in Singapore it was compliments that flowed, as the president described Kim as "talented" and said they had forged a "special bond."
After a day filled with smiles and handshakes watched around the world, the US "committed to provide security guarantees" to North Korea.
Victor Cha, a former US pointman on North Korea, said in an opinion piece in the New York Times: "despite its many flaws, the Singapore summit represents the start of a diplomatic process that takes us away from the brink of war."
But critics charged the summit legitimized Kim, whose regime has been accused of multiple human rights abuses, and said the summit was more about headlines than substantive progress.
"It was a great photo-op, great photo-op. But the substance needs to be followed up," Akira Kawasaki, from the ICAN anti-nuclear group told Agence France-Presse.
Kawasaki urged the two governments to sign the Treaty on the Prohibition of Nuclear Weapons which "can't tweet, can't change its own mind on the way back home, and can't be changed by the fragile ego of some leaders." – Rappler.com