"Everybody can now feel much safer than the day I took office", he wrote on Twitter.
However, the credibility of that claim is in doubt.
Joel Wit, a Stimson Center senior fellow and North Korea expert, told NPR that in such a timeline "you could probably disarm key portions of the North Korea nuclear program".
I get why Trump is saying this.
The meeting between the two world leaders in Singapore culminated in an agreement that commits the U.S.to offering unspecified "security guarantees" for North Korea in exchange for the denuclearization of the Korean Peninsula.
However, South Korean President Moon Jae-In said the world, through the summit, had escaped the threat of war, echoing Trump's upbeat assessment of his meeting with Kim.
Pompeo also sought to downplay Trump's announcement on Tuesday that military exercises with South Korea would be suspended in return for North Korea's denuclearization.
South Korean Minister of Defence, Itsunori Onodera, said: "We would like to seek an understanding of this between Japan, the US and South Korea".
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.
In February 2017, during an interview with Fox News's Bill O'Reilly, Trump said he "respects" Putin and downplayed O'Reilly's description of him as a "killer".
Media captionTrump Kim summit: Win-win, or a Kim win? Kim Jong-un understood getting rid of his nuclear arsenal needed to be done quickly and there would only be relief from stringent United Nations sanctions on North Korea after its "complete denuclearization", Pompeo said.
In comments reported by Reuters, he said there was still "a great deal of work to do. a long way to go with North Korea".
How has the deal been received?
Tokyo also, however, cautioned that despite Pyongyang's pledge for denuclearisation no concrete steps had been taken and that Japan would not let down its guard.
"Kim Jong-un and Trump had the shared recognition to the effect that it is important to abide by the principle of step-by-step and simultaneous action in achieving peace, stability and denuclearisation of the Korean Peninsula", KCNA said.
"It is simply unbelievable that Trump flew all the way to Singapore to end up with the short end of the stick". "These are nuclear weapons and ballistic missiles that have the capability of reaching the United States", Rubio said.
In the U.S., supporters of President Trump welcomed the outcomes of the summit as a historic breakthrough.
The Trump administration is expected to announce as soon as Thursday the formal suspension of planning for major multilateral military drills in August, US officials told CNN.
"We save a fortune by not doing war games", Trump tweeted Wednesday, "as long as we are negotiating in good faith - which both sides are!"