Kim and Trump held a landmark summit in Singapore in June, in which they agreed to work toward complete denuclearization. Kim will meet later this month with South Korea President Moon Jae-in to talk over "practical measures" toward that goal.
Kim, however, expressed to Chung that he was frustrated by skepticism in the worldwide community over his commitment to denuclearisation. The president added that he looked forward to seeing Kim again.
The remarks represent Kim's first timeline for dismantling North Korea's nuclear weapons program. Mr. Kim said he'd take "more active" measures toward denuclearisation if his moves are met with corresponding goodwill measures, Mr. Chung said.
Chung quoted Kim as saying that two-thirds of each tunnel at the Punggye-ri nuclear weapons testing site had collapsed, rendering the tunnels permanently unusable. And Washington and Pyongyang have sparred since on what that means and how it will be achieved.
Kim believes he's earned the trust of US though and says that moves such as ending nuclear tests and destroying an underground test site should prove that he's serious about denuclearizing.
"It is the case that there is still an enormous amount of work to do", Pompeo told a news conference in New Delhi.
North Korea is holding back from agreements to completely denuclearize, and state media has called for the signing of an end-of-war declaration with the United States.
Syria denies foreign attack on airbase west of Damascus
Tehran has provided steady political, financial, and military support to the government during this period. He could not specify their nationalities or whether they belonged to militias or government forces.
The summit, from 18-20 September, will be the third inter-Korean summit this year.
Kim did not mention Pompeo's cancelled trip to North Korea, but said he may be able to "more actively" take denuclearization measures should North Korea be given early rewards for the steps it has taken so far, Chung added.
The trove of comments from Mr. Kim was filtered through his propaganda specialists in Pyongyang and the South Korean government, which is keen on keeping engagement alive.
Mr Chung also cited Mr Kim as saying that North Korea is unable to conduct any more nuclear tests, despite several reports that the regime is secretly continuing its nuclear programme.
Chung, the South Korean envoy, said Kim Jong Un stressed the need for a peace declaration, and said that such a step wouldn't require the withdrawal of USA troops.
The phrase "complete denuclearization" - a term long preferred by North Korea - could be read to preclude nuclear-capable USA bombers and submarines from operating near South Korea. Last month, United States military commanders in Seoul also reversed another of Moon's initiatives, namely sending a train across the DMZ and running it on a North Korean railway to test the rails' condition.
"North Korea needs the declaration of the end of the war to convince its own officials of denuclearization", Koh said.
North Korean leader Kim Jong Un has vowed to keep working towards denuclearisation.
Trump spoke to Moon on the evening before Chung's trip and asked Moon to act as "chief negotiator" between Washington and Pyongyang, the spokesman said. The U.S. president gave Moon's envoys a message to deliver to Kim Jong Un, who gave the officials a statement to send to the White House.