North Korean leader Kim Jong Un has warned there will be consequences if the U.S. "continues to break its promises and misjudges the patience of our people".
North Korea's willingness to de-nuclearize and ease tensions on the Korean Peninsula is not unconditional and depends on whether Washington is ready to reciprocate Pyongyang's goodwill, Kim said in his New Year address. These are the Gaeseong industrial park in North Korea, where South Korean factories use North Korean labor, and the Mount Geumgang resort in North Korea.
The North is subject to multiple sets of United Nations Security Council sanctions over banned nuclear and ballistic missile weapons programmes, which have seen it carry out six atomic tests and launch rockets capable of reaching the entire USA mainland.
Mr Kim and Mr Trump met for the first time in Singapore in June but, despite a great deal of hype, the resulting agreements were vague on how denuclearisation would be achieved.
Seoul and Washington are in a security alliance and the USA stations 28,500 troops in the South to protect it against its neighbour, which invaded in 1950.
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Washington and Pyongyang have yet to reschedule a meeting between U.S. Secretary of State Mike Pompeo and senior North Korean officials after the North cancelled it at the last minute in November.
Moon's office said Kim also expressed regret he couldn't make it to South Korea for a planned visit by the end of December, which was pledged by both leaders during their previous summit in Pyongyang in September.
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USA officials say those initial steps were not confirmed and can be easily reversed, and have called for strict sanctions enforcement on the impoverished country until full, verifiable disarmament.
"U.S. negotiators should move decisively in the new year to find out how far Kim is willing to go toward a verified cap on his arsenal".
"Now that North and South Korea decided on the path of peace and prosperity, we insist that joint military exercises with outside forces should no longer be allowed and deployment of war weapons such as outside strategic assets should be completely stopped", Kim said.
Washington halted some large-scale military exercises with Seoul to aid nuclear negotiations, but smaller drills have still been held.
He also said the US and South Korea should no longer carry out joint military exercises - which have been largely halted since the Singapore meeting - calling such drills "a source of tension".
North Korea has not responded to Washington's calls for senior working-level talks to follow up on the June 12 summit, apparently preferring to engage Trump rather than other USA officials in its negotiations. Kim called for increasing electricity power generation in the country that battles chronic power shortages.
He also said he was ready to meet Mr Trump again at any time. North Korea is known to have developed at least three nuclear plants, including a five-megawatt reactor at its main Yongbyon complex producing weapons-grade plutonium, according to Seoul's Unification Ministry.
Since the Singapore summit where Kim committed to working toward denuclearization, talks between the USA and North Korea have stalled due to their differences over the sequencing of denuclearization.