In the parliamentary meeting, North Korea's nominal head of state, Kim Yong-nam, was replaced by Choe Ryong-hae.
Trump rejected Moon's calls for planned confidence-building economic projects with Pyongyang, dealing a blow to his efforts to restart nuclear talks with Kim Jong Un after Trump's summit with the North Korean leader broke down in Hanoi in late February, in part over Kim's demands for immediate sanctions relief.
Speaking at a plenary session of the central committee of the ruling Workers' party of Korea on Wednesday, Kim did not mention the U.S. by name or refer to North Korean nuclear weapons, but analysts saw his reference to "hostile forces" as a clear attempt to increase pressure on Washington.
Moon thanked Trump for initiating diplomacy with North Korea, which resulted in the end of North Korean nuclear tests and a reduction in military tensions between North and South Korea.
Kim was elected to the post first in June 2016, when the commission was created through an amendment to the constitution.
At a politburo meeting earlier this week, Kim described the current situation as "tense" and repeatedly stressed that "self-reliance" was the country's best hope of countering global efforts to use sanctions to force it to abandon its nuclear weapons and ballistic missiles.
Referring to the Hanoi meeting, Trump said "certain things were agreed to", and he felt good with the previous summits and enjoyed "being with" Kim.
"The Supreme Leader urged the need for leading officials to fully display a high sense of responsibility and creativity, and the revolutionary spirit of self-reliance and fortitude in an attitude befitting the masters of the revolution and construction under the prevailing tense situation and thus follow through on the new strategic line of the party", he told his ruling Politburo.
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He is also one of the three North Korean officials sanctioned by the USA a year ago over human rights abuse allegations.
"We want sanctions to remain in place", Trump said at the White House.
US President Donald Trump and South Korean President Moon Jae-in during talks in Washington discussed paving a way forward on denuclearizing North Korea, the White House Press Secretary's Office said in a statement.
"I just think that North Korea has potential as great as anything I've ever seen in terms of potential", the president said.
He also left the possibility open that a three-way summit with Kim and Moon "could happen also", but admitting that would largely depend on Chairman Kim.
The Moon administration is also keen to relink road and rail connections to and through North Korea - a move that would reconnect South Korea to the Eurasian landmass.
He also said that Sung supported and encouraged the struggle for building of new society of the progressive people over the world including African countries.