He would need a travel waiver to come to NY.
On Sunday, Trump tweeted that a US team had arrived in the North to make arrangements for the summit.
U.S. Ambassador to the Philippines Sung Kim leaves a hotel in Seoul on Tuesday.
The Trump administration is believed to have granted him a temporary waiver this time to allow him to NY, where North Korea has a diplomatic mission to the United Nations.
White House press secretary Sarah Sanders also said in a statement that Pompeo and the North's official will meet "later this week".
Plans for the high-stakes summit have been in flux for days.
North Korea leader Kim Jong Un has called for the building of a world-class beach resort in the eastern port city of Wonsan, the official Korean Central News Agency (KCNA) said on Saturday (May 26).
Kim Yong Chol is a former military intelligence chief and now a vice chairman of the North Korean ruling party's central committee tasked with inter-Korean relations.
The presence of USA officials in North Korea is raising expectations that a summit between President Donald Trump and the North's Kim Jong Un will take place after all.
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Abe, one of the most vociferous supporters of Trump's "maximum pressure" campaign against the nuclear-armed North, has been concerned that the mercurial US president's decision to meet Kim might result in him making a deal with Pyongyang that leaves out shorter- and medium-range missiles that could strike Japan.
An intelligence assessment compiled by the CIA and described to NBC News by three USA officials concludes that the Kim Jong Un regime is not prepared to let go of its nuclear arsenal, a finding at sharp odds with some of Trump's recent claims.
Still, while that may be true, others see reasons Xi might have aimed to influence Kim short of causing a total Washington-Beijing rupture. But Pyongyang has rejected any "unilateral" dismantlement in an apparent bid to win sanctions relief and security guarantees.
China, North Korea's longtime ally and chief trading partner, has sought to position itself as a key intermediary in talks over Pyongyang's nuclear weapons program.
Kim had requested a meeting with Moon to clarify what the "Trump model" meant, Yonhap news agency of South Korea reported, citing an unidentified foreign affairs source.
"Our United States team has arrived in North Korea to make arrangements for the Summit between Kim Jong Un and myself", Mr Trump tweeted.
Kim would be the highest-ranking North Korean official to visit the United States since 2000, when Vice-Marshall Jo Myong Rok invited president Bill Clinton to the North Korean capital, Pyongyang, with the prospect of sealing an agreement on curbing the North's missiles.
It wasn't immediately clear whether the American officials including Sung Kim, the USA ambassador to Manila, were heading to the border village between the two Koreas, where they met with North Korean officials on Sunday.
The U.S. has yet to confirm any details.
But Mr Kim also said he was unsure whether he could trust the United States over its promise to end hostile policies against North Korea and provide security assurances if the country does abandon its nuclear weapons, according to Mr Moon. He also hosted the United States delegation during Pompeo's two previous visits. During those visits, Pompeo laid the groundwork for the summit and brought home three American prisoners the North released in a show of good faith.