"We will wait with patience until the end of the year for the U.S. to make a courageous decision", Kim said.
Moon said it's important to maintain the "momentum of dialogue" and express a positive outlook to the global community that a "third U.S".
"It all depends on how the United States is approaching the subject", said Kim. In their first summit last June in Singapore, Trump and Kim issued a vague statement calling for a nuclear-free Korean Peninsula without describing when or how it would occur. "But U.S. -style dialogue of unilaterally pushing its demands doesn't fit us, and we have no interest in it", Kim said during the speech.
Kim said he will wait "till the end of this year" for the United States to decide to be more flexible, according to KCNA.
In February, Trump left Hanoi earlier than planned, with no joint agreement or statement after Kim insisted all United States sanctions be lifted from his country.
North Korea's external-oriented media outlets repeatedly in March dismissed Seoul's "presumptuous" plans to mediate DPRK-U.S. nuclear talks, and Kim's decision to so directly condemn the South Korean government this week is notable.
Responding to Mr Kim's speech, South Korea repeated its stance of promoting the talks. Andy Kim of New Jersey and Ro Khanna of California - sent the letter on Thursday as Trump met with South Korean President Moon Jae-in at the White House.
North Korea has a choice "to keep maintaining the atmosphere of improving the North-South ties or to go back to the past when the ties plunged into a catastrophe with the danger of a war increasing", he said.
The two leaders met for the first time in Singapore a year ago.
Analysts said, however, the existing strictures on Choe will have little impact on his future diplomatic endeavours, as long as its nuclear dialogue with the United States continues.
Following the collapse of the Trump-Kim summit, the North had been urging the South to break away from Washington and proceed with inter-Korean economic projects that are now held back by US -led sanctions against the North.
In a signal that North Korea hasn't given up on negotiating, Kim Yong Chol was reappointed a member of the State Affairs Commission.
The weekslong saga following the Hanoi summit was marked by tensions, wild speculation and negative projections, as Pyongyang has restored a key long-range rocket launch site and continued running its uranium enrichment facility at the mainstay Yongbyon nuclear complex alongside its threat to suspend dialogue with Washington.
According to the KCNA, Kim dismissed the need for "preoccupation with the summit with the USA due to a thirst for the lifting of sanctions".
While President Trump continues to give at least superficial lip-service to wanting new diplomatic process with North Korea, including possible "small deals" in the future, it appears he is also heavily committed to the status quo of sanctions and hostility. "The big deal is we have to get rid of the nuclear weapons".
Trump walked away from making a deal with Kim at their meeting in late February.