The pair made brief remarks as they sat together before the world's media as the historic summit got under way, with the USA leader insisting "we will have a terrific relationship I have no doubt". "I hope it's going to be soon. the sanctions right now remain".
Mr Trump added: "I learned he's a very talented man".
A slight smile crosses Kim's face as Trump places a hand on the North Korean Leader's arm.
Kim then gave a few words.
The two leaders met for about 40 minutes and were joined only by interpreters.
Dems lack heir apparent this time MORE on Tuesday, saying he looked "more presidential this morning than I have ever seen him look" during his summit with North Korea president Kim Jong Un in Singapore.
Kim was accompanied by North Korean foreign minister Ri Yong-ho, and Kim Yong-chol and Ri Su-yong, vice chairmen of the worker's party.
"I'm asking every Democrat who wrote that letter and all my Republican colleagues to tell North Korea and China that if diplomacy fails, we will have the president's back, we'll authorize the use of military force as a last resort to stop the nuclear threat in North Korea to the American homeland and the world at-large".
GFA dissolved by Ghana government
Provisional measures will be put in place to run the sport in Ghana until a new body is formed. A police vehicle is pictured at the premises of Ghana Football Association in Accra.
With Trump and Kim both known for making exaggerated, if not entirely false claims, those notes could be key to understanding Kim as a leader and furthering plans for peace on the Korean Peninsula.
"It's pretty comprehensive", Trump said about the document, adding that denuclearisation could begin "very quickly".
Asked to describe Mr Kim, Rodman said the autocratic leader was "like a big kid" who wants to have a good time, but is "trying to protect his people" and his honour.
Trump says the USA would have to verify North Korea's denuclearization.
Joint Statement of President Donald J. Trump of the United States of America and Chairman Kim Jong Un of the Democratic People's Republic of Korea at the Singapore Summit.
"Many people in the world will think of this as a. form of fantasy. from a science-fiction movie", Kim said, according to a translator.
Rodman says he took Kim's message back to the US and tried to share it then-president Barack Obama, but Obama wasn't willing to listen. We've overcome so many obstacles which blocked our eyes and ears, dragging our feet down due to the past history, prejudices.
Trump also said he wants "at some point" to withdraw the American troops now in South Korea.
Canadian Foreign Minister Chrystia Freeland responded to the White House comments by saying that Canada will retaliate to U.S. tariffs in a measured and reciprocal way and that Canada will always be willing to talk. "We can't go too terribly wrong without doing these exercises without having some impact".