Get that nailed down and he said the summit provides "an unprecedented opportunity to change the trajectory of our relationship and bring peace and prosperity".
The report also said Mr Kim was accompanied by his foreign minister Ri Yong Ho, defence minister No Kwang Chol and sister Ms Kim Yo Jong.
Didn't we fight a war with North Korea? He had earlier been scheduled to leave on Wednesday.
Some analysts said a Kim commitment to specific negotiations on denuclearisation could well be enough for Tuesday's summit to be a success.
In Singapore, the island city-state hosting the summit, the sense of anticipation was palpable, with people lining spotless streets Monday waving cellphones as Trump headed to meet Singapore's Prime Minister Lee Hsien Loong.
The five-star luxury hotel has 112 rooms and views of the South China Sea.
His first stop was a waterfront park with futuristic installations, Gardens by the Bay, which boasts the largest glass greenhouse and tallest indoor waterfall in the world.
He was greeted by Singapore's foreign minister, Vivian Balakrishnan, who posted a picture on Twitter of him shaking hands with Kim and the message: "Welcomed Chairman Kim Jong Un, who has just arrived in Singapore".More news: IHOP or IHOB? Online Followers Confused by Restaurant's New Campaign
More news: U.S. Service Member Killed, 4 Others Wounded in Somalia Attack
More news: Amazon Wins U.K. Broadcast Rights to Premier League
The president has said that he would be willing to guarantee the safety of Kim's regime - though it's not clear how he would back that up. They are being housed at the Formula One pit building in the city centre, while Trump stays in the Shangri-La and Kim at the St. Regis. The article titled 'Trump and Kim - The meeting the world's been waiting for' also noted one subject that went untouched by other media houses - "What will nearly certainly NOT be talked about is North Korea's human rights record". The US president has also raised the possibility of further summits and an agreement ending the Korean War by replacing the armistice signed in 1953 with a peace treaty.
KCNA noted that the summit meeting is the first in history between the two countries and will be held "under the great attention and expectation of the whole world". It heralded the summit as part of a "changed era".
It further justifies its new position with a quote from former leader Kim Jong-il: "We can develop fair worldwide relations when all nations and all peoples maintain independence and respect each other, and we can build a truly independent, peaceful and friendly new world".
Not only have Korean Central TV, KCNA news agency and newspaper Rodong Sinmun published reports on the trip to Singapore, they have also told North Koreans the exact goal of the visit - to meet the president of the United States.
"The discussions between the United States and North Korea are ongoing and have moved more quickly than expected", the White House said in a statement.
Tensions between the two countries escalated in 2017 after Pyongyang stepped up efforts to boost its nuclear weapons programme.
They believe Kim's latest engagement is aimed at getting the United States to ease the crippling sanctions that have squeezed the impoverished country. Rodman went on Instagram to announce that he will be there to "give whatever support is needed" for Trump and Jong Un.