Trump arrived on Air Force One at Singapore's Paya Lebar Air Base at 8:21 p.m. local time, where he was greeted by Singapore's Foreign Minister Vivian Balakrishnan
Trump, asked by reporters as he arrived in Singapore how feels about the summit, said "very good" before climbing into his limousine and heading to the hotel.
The US President flew to Singapore from Canada, where he participated in an especially contentious G7 summit that came after he triggered a trade dispute with several of the US' closest allies.
The two leaders are to meet on Tuesday at the Capella Hotel on Sentosa island where talks on denuclearisation of North Korea in exchange for economic help will be on the table.
Trump posted messages on Twitter on his way to Singapore, where he will meet Kim on Tuesday.
Trump said the summit with Kim is "a chance to achieve a truly wonderful result for North Korea and the world."
He writes "it will certainly be an exciting day" and he knows that Kim "will work very hard to create peace and prosperity for his land".
Trump tweeted on Sunday: "That is something that has rarely been done before."
The president added he has a feeling that what he calls the one-time opportunity "will not be wasted."