On the way forward, Mr Pompeo said, "I don't know exactly what the timing will be for our next conversation with the North Koreans".
Japanese officials are planning to unofficially consult with North Korean officials during a two-day global conference in Mongolia through Friday.
Speaking in South Korea, where he discussed the outcome of the summit, Secretary Pompeo said there was still "a great deal of work to do" with North Korea. Meeting briefly with Pompeo on Thursday morning, Moon said he was eager to hear how the United States and North Korea could "fully and expeditiously implement this great agreement". Pompeo, the former Central Intelligence Agency director, then plans to fly to Beijing to update the Chinese government on the talks.
"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 denuclearization of the Korean Peninsula", state media outlet KCNA reported.
Without his nuclear arsenal, Kim wouldn't have been even able to sit down and negotiate with Trump, according to Cotton, a member of the armed service committee who backed the president's efforts in Singapore.
Understanding that the survival of the Kim regime has, for decades, relied on a credible nuclear deterrent, Trump hopes to offer it a comprehensive alternative: A fundamental shift in relations that will enrich his country and protect the Kim family.
By credibly threatening the United States with nuclear war, he won a one-on-one meeting with the American president - a longtime strategic goal of his family's regime. It called the summit "dumbfounding and nonsensical", and said it will allow North Korea to permanently maintain its nuclear weapons program.
Koichi Hagiuda, executive acting secretary-general of the ruling party, said he heard from Abe that Kim did not repeat North Korea's claim that the issue involving Japanese citizens abducted by North Korean agents in the 1970s and 1980s had been resolved. The presidential center of the former Republican president George W Bush has been tweeting about North Korea's abuses, giving a clear indication of how he views the matter.More news: 'This is huge:' North Korea agrees to return remains
But he said that was no longer the case, and everyone can "sleep well tonight".
The decision to halt military exercises in South Korea has bewildered many current and former US defence officials, who only learned about it when Trump made his remarks. Trump's announcement appeared to catch the Pentagon and officials in Seoul off guard, and some South Koreans were alarmed.
He also announced an unexpected end to US-South Korea military drills.
"He was unambiguous about that", Pompeo said.
Sherman was also vocal about Trump's announcement that the USA would no longer take part in "war games", and described the joint military drills with South Korea as costly and "provocative".
While Trump held a news conference at the G-7 summit in Quebec last week, he told reporters during one exchange that he "came up with the term fake news" because many journalists who cover him are "very dishonest".
The traditional USA calendar for other major drills would not pick up again until next spring, officials say. -South Korean drills was met with concern.