The statement made clear that Pyongyang was expecting US concessions before any moves by the North.
The US president also said he wants to withdraw American troops stationed in South Korea, like he had promised during his election campaign.
Mr Pompeo is expected to give a more detailed account of the first-ever US-North Korea summit to Mr Moon and his South Korean counterparts, the Cheong Wa Dae official noted.
North Korea conceded nothing when supreme leader Kim Jong-un met US President Donald Trump in Singapore, despite Trump's pledge to halt US military exercises with South Korea, former CIA Director Michael Hayden said in an interview on Tuesday. "As you just did now, you called Kim Jong Un a 'weirdo, ' you said, 'he's a total weird who would be elected assistant dog catcher in any democracy.' The president, he sits down with Sean Hannity, he's talking about Kim Jong Un as someone who appeared to be amusing, he's smart, the president has said of him".
Speaking at a press conference following the summit, Trump said: "Now we can have hope that [the war] will soon end and it will, it will soon end".
There is now confusion in Seoul and Washington DC over whether large joint exercises in August, called Ulchi Freedom Guardian, will go ahead.
He's expected to meet privately in the evening with Gen. Vincent Brooks, commander of U.S. Forces Korea. -South Korea joint live-fire military exercise, at a training field, near the demilitarized zone, separating the two Koreas in Pocheon, South Korea April 21, 2017.
"Everybody is interested in the summit right now", she said.
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He made it to China but was caught and returned to a North Korean labour camp, where he said torture was among the "very serious human rights violations", which he witnessed, and which he says still continue to this day.
Russian Federation is welcoming the outcome of the summit between President Donald Trump and North Korean leader Kim Jong Un.
Some experts have criticized proposals for a step-by-step approach as a mere ploy by Pyongyang to win concessions while delaying disarmament.
The agreement has four points, with the third stating that 'the DPRK (Democratic People's Republic of Korea) commits to work toward complete denuclearization of the Korean Peninsula'.
That statement, which Trump touted as "very comprehensive", was scant on details, including specific actions and a timeline for the North relinquishing its nuclear arsenal. But the statement did not specify his North Korean counterpart by name, saying it would be a "relevant, high-level" official. The North has long blamed the surrounding tense security environment on Washington's "hostile policy" toward it.
Although the Pentagon said Defense Secretary Jim Mattis was consulted ahead of time, current and former US defence officials expressed concern at the possibility that the United States would unilaterally halt military exercises without an explicit concession from North Korea lowering the threat from Pyongyang.