Moon plans to return to South Korea later Thursday, but the leaders are still basking in the glow of the joint statement they settled Wednesday.
This week, the Korean leaders advanced the preliminary denuclearization agreements made in Kim and Moon's first two meetings and Trump's Singapore summit, with Kim promising to destroy his government's nuclear missile facilities in Yongbyon, north of Pyongyang, under the watchful eye of external experts.
Kim Yong Un made another pledge to the South's Moon Jae-in on denuclearisaing the North.
"We're making tremendous progress with respect to North Korea".
North Korea announced it would disassemble the complex if the United States takes "corresponding measures" under a comprehensive agreement reached by the leaders of the two rival Koreas.
With the main business of the day over, North Korea was expected to hold a huge mass games spectacle in the evening, with Moon as the special guest.
The countries agreed to withdraw 11 guard posts each from the demilitarized zone, as well as joint excavation of war remains and a "buffer zone" to stop hostile acts. And they either pocket the concession and then move on to the next demand.
Other agreements aimed at removing some longstanding irritants from their relations, such as allowing more contact between families divided by the Korean War.
Unlike Trump's initial tweets praising the summit, the news brought a quick and negative response from Sen.
However, while containing several tantalizing offers, it appears to fall short of the major steps many in Washington had been looking for - such as a commitment by Pyongyang to provide a list of the North's nuclear facilities, a solid step-by-step time line or an agreement to allow global inspectors in to assess progress or discover contraventions. "I promised President Moon Jae-in that I will visit Seoul in the near future", he said.
The leaders of the rival Koreas took to the road for the final day of their summit Thursday, standing on the peak of a handsome volcano considered sacred in the North and a centerpiece of propaganda used to legitimize the Kim family's rule, their hands clasped and raised in a pose of triumph.
"(Moon) would add much legitimacy to Kim, who had never had any summit with a foreign leader until early this year", said Seo Yu-suk, a research manager at the Institute of North Korean Studies in Seoul.
Washington has demanded concrete action toward denuclearisation, such as a full disclosure of North Korea's nuclear and missile facilities, before agreeing to key goals of Pyongyang, including an easing of global sanctions and an official end to the Korean War. "They don't meaningfully constrain North Korea's nuclear programme".
At the start of their meeting, Kim thanked Moon for brokering the June summit with Trump.