"Look, president Trump is a deal-maker", he said.
The president says the country's "biggest enemy is the Fake News so easily promulgated by fools!" Trump's claim is dubious considering Pyongyang's significant weapons arsenal.
Analysts generally agree that a series of stringent economic and financial sanctions against North Korea, led by the U.S. with China's support, have played a big role in Kim's sudden embrace of diplomacy in the past six months after his repeated nuclear provocations.
Pompeo said Wednesday that Trump "made it very clear that the condition precedent for the exercises not to proceed was productive, good-faith negotiations being ongoing".
North Korean state news agency KCNA has celebrated the promise, reporting that Mr Kim demanded the urgent cessation of "irritating and hostile military actions" during the summit.More news: Robert De Niro Stuns Tonys After Saying 'F*** Trump' - Twice
Following the unprecedented summit, Trump and Kim signed a joint statement in which they agreed to craft "new" bilateral relations and make joint efforts to build a "lasting and stable" peace regime on the peninsula. "I want to get our soldiers out". For China, that raises the uncomfortable spectre of American troops on China's doorstep, erasing North Korea's traditional role as a buffer.
Last year, Ilsik Hong, who lives in Wichita but is from South Korea, told KWCH he had confidence the President could bring peace to Asia.
Air Force One touched down at Joint Base Andrews early Wednesday morning, completing the president's marathon trip to Asia for talks with the North Korean leader.
The details of how and when the North would denuclearise appear yet to be determined, as are the nature of the unspecified "protections" Trump is pledging to Kim and his government.
During his return, Trump spoke with South Korean Prime Minister Moon Jae-in and Japanese Prime Minister Shinzo Abe.
In South Korea, leading owner HMM said it did not have a statement on what is a national holiday.
Trump and Kim in Singapore on Tuesday.More news: Trump, Iran trade sharp words over oil prices ahead of OPEC meeting
"We're not there yet", he said.
There is even the remote possibility that North Korea could flip allegiances, just as China did in 1972.
Washington has described the drills as defensive in nature, but Pyongyang says they are a rehearsal for invasion and has long called for them to end.
Kim, Moon's spokesman, says Seoul is still trying to figure out the exact meaning and intent of Trump's comments.
China's Foreign Ministry has confirmed that US Secretary of State Mike Pompeo will visit Beijing on Thursday following the landmark summit between the leaders of the United States and North Korea.
He also expressed a desire to remove all 28,500 American troops stationed in South Korea, a pillar of U.S. engagement in Asia since the Korean War ended in 1953.
Trump's assertions could alarm South Korean conservatives who have urged him not to jeopardise their country's security.More news: Aeon Flux returns to TV as a live-action series
"The June 12 Sentosa Agreement will be recorded as a historic event that has helped break down the last remaining Cold War legacy on Earth", he said.