Singaporean media reported that he had arrived at 2.38 p.m. local time (0738 UTC) on Sunday.
It's unclear when it will wrap up and when we'll learn what the two sides agreed to, if anything.
But critics have warned that the meeting risks being largely light on substance considering what is believed to be a wide gap between the USA and the North on the denuclearization issue.
North Korea has rejected giving up its arsenal unilaterally and defends its nuclear and missile programs as a deterrent against what it sees as USA aggression.
Trump and Kim are set to meet at 9 a.m. Tuesday in Singapore, which is 9 p.m. Monday on the U.S. East Coast. "Kim Jong-un was an in-attendant student but demanded slavish loyalty from other children in his wake".
Mr Kim is seeking security guarantees and relief from economic sanctions.
The eventual removal of the roughly 30,000 USA troops from South Korea.
In a letter on Monday, Senate Democrats outlined how they believe Trump should handle negotiations with Pyongyang, saying any deal should require that North Korea give up its nuclear and ballistic weapons programs.
Special Operations Command (SOC) police officers patrol Orchard Road ahead of the Trump-Kim summit in Singapore, June 10, 2018.
His tweet came after the White House Thursday ruled out any role for the high-profile retired player in the hotly-anticipated talks with the North Korean leader, with whom Rodman has struck up an unlikely friendship. If you're not going to be able to walk away - we didn't walk away from the awful Iran deal that was signed, and if you look at what's happened, since I signed that deal, Iran and in all fairness, I say it with great respect for the people of Iran, but Iran is acting a lot differently.
"A bipartisan AUMF would really make that letter much more credible, and if diplomacy fails, as a last resort, Democrats and Republicans need to put the military option on the table or we'll never get a good deal", added Graham, who sits on the Senate Armed Services Committee.
The two men will be joined later by their closest aides, including US Secretary of State Mike Pompeo and National Security Adviser John Bolton, the official said.
"I love my friend Lindsey Graham, but I think first we have to give a chance at peace, and that's why we outlined very clearly what a successful agreement would be", Menendez said. "I look forward to meeting him and have a feeling that this one-time opportunity will not be wasted!"
Julie Giguere, MD of worldwide interpretation and translation specialists Asian Absolute, said making a good first impression will be key and Mr Trump would need to mind his manners.
Mr Trump's first year in office was marked by bitter exchanges with Mr Kim as North Korea conducted several ballistic missile tests in defiance of global warnings.
Even if brief, the meeting could potentially be the start of a broader dialogue between Trump and Kim.
"No doubt that Mr Trump and his team prepared with cultural coach and will rely on the assistance of professional interpreters to help making their point respectfully and efficiently". A few hours after that, Balakrishnan was on hand when Trump stepped off Air Force One. The government controls all aspects of the economy, the media and the political process.
Any deal would likely depend on North Korea's willingness to open its facilities for inspection. But they hope the US won't ignore North Korea's advanced chemical and biological weapons program, as well as more conventional artillery which remains a threat to the region.
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