Donald Trump and Kim Jong-un have become the first sitting leaders of their countries to meet, shaking hands before a summit at the Capella hotel in Singapore just 10 months after the US president threatened North Korea with "fire and fury".
The talks, the first of their kind, addressed the denuclearisation of the Korean peninsula and the warming of relations between the two countries.
Mr Kim and his South Korean counter-part Moon Jae-in committed to the denuclearisation of the peninsula in April.
They also agreed to bring an end to the Korean War, a 65-year-old conflict.
12:57 — The next step
President Trump told reporters the US and North Korea will meet next week to over details.
12:52 — Treating historical friends as enemies and historical enemies as friends?
In reference to the recent G7 meeting, President Trump said the US was being taken advantage of on trade.
"we finished the meeting, everybody was happy. I demanded changes, and those changes were made."
"Countries cannot continue to take advantage of us on trade," Mr Trump said.
12:49 — Military consequences, if Kim doesn't follow through on document
"I don't want to be threatening. they understood that," said President Trump.
"At that time we needed perhaps fire and fury because we couldn't allow that capability from the standpoint of the United States".
12:47 — 'It's not a big deal to meet, we should meet on a lot of different topics' said President Trump
12:20 — North Korea is destroying a 'major missile testing site', President Trump said in a press conference
The president of the United States said that after the signing of the denuclearisation document, Kim Jong-un agreed to destroy the site.
Mr Trump struck an optimistic tone, "I know as soon as he arrives he will start a process that will bring about great change."
This seems to refer to increased trade with the rest of the world, "there's no limit to what North Korea can achieve when it gives up its nuclear weapons and embraces commerce and engagement with the rest of the world," the president said. Hong Kong shares ended higher on Tuesday following the summit.
At the press conference Mr Trump also announced that he will be ceasing "war games" with South Korea, and that he hopes to withdraw US troops from the Korean peninsular.
Before the conference the US team showed a mock US movie trailer putting the choice of peace and prosperity to Mr Kim Jong-un, containing the line "two men two leaders, one destiny."
Mr Trump started the conference by thanking his hosts Singapore and Chairman Kim, and said, "we're prepared to start a new history...adversaries can indeed become friends."
12:02 — US President Donald Trump tweeted a video of the Singapore summit, where he and North Korean leader Kim Jong-un had their historic meeting.
11:40 — US Secretary of State Mike Pompeo said that the State Department team at the Singapore summit "delivers for America".
Mr Pompeo also said that the signing of the denuclearisation document was the "start of a new relationship" between the US and North Korea.
11:28 — China's Foreign Ministry said on Tuesday that sanctions relief could be considered for North Korea, after US resident Donald Trump and North Korean leader Kim Jong-un signed a "comprehensive" document aimed at denuclearisation. Ministry spokesman Geng Shuang made the comment at daily news briefing in Beijing.
10:46 — Document specifies N Korea commits to "work towards" denuclearisation
Photograph of the document shows the two leaders' signatures and text: "President Trump committed to provide security guarantees to the DPRK, and Chairman Kim Jong-un reaffirmed his firm and unwavering commitment to complete denuclearisation of the Korean peninsula."
09:52 — The two leaders shake hands against backdrop of US and North Korea flags
Mr Trump continued to praise his North Korean counterpart, saying Mr Kim has "a great personality" and is a "worthy negotiator".
"He loves his country very much. We'll meet many times."
09:46 — President Trump says him and Kim Jong-un have developed a 'very special bond'
President Trump says US-Korea relations will change. "It's going to be a very different situation … we both want to do something, we've developed a very special bond. People are going to be very happy. I want to thank chairman Kim … it worked out for both of us far batter than anybody had expected. this is going to lead to more and more and more. And its an honour to be with you."
09:42 — Leaders sign unspecified document
Mr Trump: "We're both very honoured to sign the document"
Mr Kim appeared optimistic as he said: "today we had a historical meeting and decided to leave the past behind, the world will see a major change. I would like to express my gratitude to president Trump to make this meeting happen."
09:40 — President Trump and North Korean leader arrive
09:15 — Room is being readied for document signing
09:00 — Trump lets Kim look inside the presidential limo
As the two leaders strolled around the grounds of the Singapore resort, they walked up to the US limousine nicknamed The Beast.
Trump can be seen talking and gesturing before a Secret Service agent opens the door and the leaders look in.
09:00 — 'I'm so happy': Dennis Rodman weeps as Trump and Kim meet
Former NBA star Dennis Rodman openly wept on television in a live interview from Singapore as Trump and Kim met for the first time. He told the Associated Press that he hopes to soon visit the White House.
The eccentric former reality television star is one of the few westerners to have spent time with Mr Kim during multiple visits to Pyongyang.
The two struck up an unlikely friendship over their shared love of basketball. Rodman also goes back years with Trump and appeared on his "Celebrity Apprentice" show.
Wearing a Trump MAGA cap Rodman said he had received a call from the White House before Trump's historic meeting with Kim — the first between a sitting president and North Korean leader.
08:40 — Trump and Kim leave the building for a private lunchtime stroll
Mr Trump and Mr Kim have left their lunch meeting for a walk along the colonnade around Capella Hotel, alone and without translators.
Mr Trump told reporters: "We had a really fantastic meeting, a lot of progress, really very positive — I think better than anybody could've expected. Really top of the line, really good."
He then refused to take any further questions, walking off and saying the pair were off "for a signing". When reporters quizzed him on what they would be signing, Trump replied: "You will know in a few minutes."
08:00 — Trump asks photographers to make him look "handsome and thin"
A journalist at the summit describes a mid-lunch photo call for Mr Trump and Mr Kim, in which Mr Trump asked: "Getting a good picture everybody? So we look nice and handsome and thin?".
Only Singaporean government TV cameras had been allowed into the room — the White House press pool were kept outside.
07:30 — Working lunch begins
A working lunch, scheduled to last more than four hours, has begun between the two leaders.
07:00 — More photos from 'The Handshake'
06:40 — Trump: "We will solve a big problem"
Mr Trump and Mr Kim expressed optimism that their two countries could find a path toward peace.
“I believe this is a good prelude for peace,” Mr Kim said as the two men sat accompanied by top aides an hour into their meeting in Singapore. Mr Trump responded by saying “I do, too.” Looking Mr Kim in the eye, he said “we will solve it, we will be successful.” He went on to say: "We will solve a big problem" and "a big dilemma."
Mr Trump talked about the pair achieving "tremendous success together" and predicts that "it will be successful. It will be done."
06.25 — Larry Kudlow is 'doing well' after heart attack
Mr Trump’s top economic adviser, Larry Kudlow, was “doing well” on Monday night after suffering a heart attack, a White House spokeswoman said.
“Our Great Larry Kudlow, who has been working so hard on trade and the economy, has just suffered a heart attack,” Mr Trump said in a tweet from Singapore shortly before his summit with Kim Jong Un. “He is now in Walter Reed Medical Center.”
Mr Trump offered no further details on the 70-year-old Kudlow’s medical condition or prognosis.
White House press secretary Sarah Huckabee Sanders later said of Mr Kudlow: “He’s doing well.”
Mr Kudlow's wife, Judy, said he was doing "fine", Robert Costa, a Washington Post reporter, said in a Twitter posting. In another tweet, Mr Costa said Mr Kudlow "is up and talking tonight and spoke by phone with Dr Art Laffer," citing two people close to Mr Kudlow.
06.10 — US and North Korean teams sit down for bilateral summit
Mr Kim and Mr Trump have now started a bilateral discussion with their full teams around the table. Mr Trump says that the one-on-one meeting with Mr Kim was "very, very good" and that they have an "excellent relationship".
05.50 — One-on-one session apparently over
The pair of world leaders appear to have wrapped up the one-on-one session, as they appear at an upper floor balcony and both wave to the press. They are still accompanied by their interpreters, everyone is still all smiles. It's now believed that they are going to hold a wider meeting with their advisers.
05.20 — Trump predicts a 'terrific relationship'
US president Donald Trump predicted he would have a "terrific relationship" with North Korea's Kim Jong Un Tuesday, as the pair met for a historic Singapore summit.
"We will have a terrific relationship, I have no doubt," Mr Trump said amid smiles and backslapping that belied the decades of tension and blood spilt between the two Cold War foes.
Kim Jong-un reportedly said “it has not been easy to get here” and that “the old prejudices and practices worked as obstacles, but we have overcome them and we are here today”.
05.10 — The historic handshake
And there you go, history has been made. Donald Trump and Kim Jong-un have shaken hands before their summit which is expected to last 45 minutes. Despite earlier reports that the meeting could take place over two to three days, Mr Kim is expected to leave at 2pm local time and the US president will leave four hours later, stopping off at American military bases in the Pacific theatre on his way home.
04.50 — Trump tweets that senior economic adviser Larry Kudlow has had a heart attack
Top White House economic adviser Larry Kudlow suffered a heart attack and is being treated at a Washington area hospital, President Donald Trump said in a tweet apparently sent while he was in the motorcade on his way to the summit.
"Our Great Larry Kudlow, who has been working so hard on trade and the economy, has just suffered a heart attack. He is now in Walter Reed Medical Center," Trump said on Twitter minutes before he was scheduled to meet with North Korean leader Kim Jong Un in Singapore.
04.40 — Both leaders have now arrived at the summit venue
Mr Trump was first to arrive at the Capella hotel, and he has now been joined by Mr Kim. The North Korean leader travelled in a far smaller motorcade but it included a Mercedes Maybach which he shouldn't actually have according to analysts, as its import to the hermit state has been banned by international sanctions.
04.10 — Donald Trump leaves for the summit
Donald Trump has left his hotel to travel to the Capella hotel for his summit meeting.
04.05 — North Korean media praises 'clean and beautiful' Singapore
State media in North Korea reported on Tuesday Kim Jong Un's late-night tour of Singapore, in a break with their usual cautious approach to covering the leader.
AP reports that Pyongyang's official Rodong Sinmun on Tuesday filled its front page with photos of his visits to Singapore's landmarks, including the Flower Dome at Gardens by the Bay and the Marina Bay Sands resort.
The North's Korean Central News Agency quoted Kim as saying that Singapore is "clean and beautiful and every building is stylish" and that he will learn "a lot from the good knowledge and experience of Singapore in various fields in the future."
It's rare that security-obsessed North Korea reports on Kim's activities within hours. When Kim visited China for meetings with Chinese President Xi Jinping in March and May, state media didn't report on the trips until after he returned home.
03.45 — Journalists gather in front of the Capella Hotel
Members of the media work as security personnel keep watch near the entrance to the Capella Hotel in Singapore. There are an estimated 2,500 foreign journalists in the country for the summit, the largest single gathering of media that Singapore has seen. By and large they have been observing the city state's strict laws, although last week, two journalists from South Korea's Korean Broadcasting System were arrested for trespassing in the grounds of the North Korean ambassador's house.
03.30 — Trump grants Fox News and Hannity his first post-summit interview for airing on Tuesday night
The Associated Press reports that Mr Trump will give an interview to Fox News host Sean Hannity after the summit today.
Fox News says the interview will take place Tuesday at the Capella Hotel on Sentosa Island in Singapore. Mr Trump and Mr Kim are set to meet on Sentosa Island on Tuesday morning for roughly 45 minutes while their entourages wait nearby.
The interview will air on Fox’s Hannity at 9pm ET on Tuesday night.
Fox News says the president will talk about the meeting with Mr Kim and future relations between the two countries.
Mr Hannity is a friend and confidant of the president and speaks out in support of Trump on his show.
02.30 — Trump shoots off early-morning pre-summit tweets
Mr Trump has already taken to Twitter to say that "we will all know soon" whether he can reach a deal with North Korea's Kim Jong Un to end its nuclear programme.
The US president is tweeting hours before the leaders' historic face-to-face that, "Meetings between staffs and representatives are going well and quickly."
But he says that, "in the end, that doesn't matter. We will all know soon whether or not a real deal, unlike those of the past, can happen!"
Before leaving Washington for Singapore, Mr Trump said his gut instincts will guide him when he gets into the room with Mr Kim.
He told reporters he'll know almost immediately whether a deal can be made, saying: "I will know, just my touch, my feel. That's what I do."
Their meeting is scheduled for 9am Singapore time.
23.00 — Trump and Kim will meet one on one with no aides
According to the Associated Press, Donald Trump and Kim Jong-un will square off one on one, alone but for a pair of translators. That's raising concerns about the risk of holding such a monumental meeting with barely anyone to bear witness.
Trump and Kim will meet on Singapore's Sentosa Island for roughly 45 minutes while their entourages wait nearby.
The huddle will come before a larger meeting and a working lunch attended by top advisers to the president and their North Korean counterparts.
Word of the private meeting unleashed a torrent of criticism on social media from national security veterans who worry the lack of a transcript will create a he-said-he-said showdown that could turn into a major headache for Trump.
22.10 — Dennis Rodman arrives in Singapore; former NBA star says he hopes it's a success
As if this surreal circus needed any more bizarre elements added to it, the former professional basketball player Dennis Rodman has turned up in Singapore. Rodman first met Kim Jong-un in January 2014 when he took a team of basketball players to North Korea for an exhibition match, and returned there last year.
He arrived in the city-state some nine hours before Trump meets with Kim in a bid to negotiate an end to a decades-old nuclear stand-off.
Rodman said he expected the Trump-Kim summit to "go fairly well" but added "people should not expect too much for the first time".
"I'm just happy to be a part of it," he told reporters at Changi Airport.
"I think that I brought awareness to a lot of things around the world and I think North Korea has given a lot of people the opportunity to do this conference now and I hope it's a success.
"Who knew this would have happened five to six years ago … It's exciting to be a part of it."
21:15 — Sightseeing and selfies
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18:16 — Kim has late-night tour of Singapore
North Korean leader Kim Jong-un, who rarely ventures outside his isolated country, visited tourist sites on Singapore's waterfront on Monday, hours before a historic summit with US President Donald Trump.
Kim is not believed to have left his hotel since a meeting with Singapore's prime minister, Lee Hsien Loong, soon after his arrival on Sunday in the city-state, but ventured out on Tuesday evening, smiling as he walked through the lobby to his limousine.
Kim's 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.
Police and onlookers were also seen gathering outside the Marina Bay Sands hotel, which resembles a giant surfboard perched on three columns at the mouth of the Singapore River.
17:00 — Trump to leave early after good progress in talks
President Trump will leave the summit in Singapore earlier than planned after good progress in preliminary talks between the US and North Korean delegations.
Mr Trump was due to leave Singapore on Wednesday morning, but according to the Associated Press, the US president will now leave at 20:00 (UTC+8 16:00 UTC+4) on Tuesday evening.
The White House said on Monday the talks regarding nuclear weapons have moved "more quickly than expected." It is not yet known exactly what progress has been made.
The meeting on Tuesday is due to start at 09:00 (UTC+8, 05:00 UTC+4). After greeting each other, the two leaders, plus their translators, will sit one on one in a room for up to two hours. The summit could also include a working lunch, and a larger meeting involving aides to both leaders.
14:00 — Pompeo: 'the United States has been fooled before'
The US secretary of state Mike Pompeo has warned that "the United States has been fooled before" by North Korean promises.
Warning in a press conference that the United States will not be duped again, Mr Pompeo said, "the United States has been fooled before there's no doubt about it.
"Many presidents previously have signed off on pieces of paper only to find that the North Koreans have either, didn't promise what we thought they had, or actually reneged on their promises."
However, speaking assuming North Korea commits to full denuclearisation, Mr Pompeo also said "we will take actions to provide them sufficient certainty that they can be comfortable that denuclearisation is not something that ends badly for them".
"Just the opposite," he said. "That it leads to a brighter and better future for the North Korean people."
"I'm very optimistic we will have a successful outcome with the two leaders.
"There are only two people that can make decisions of this magnitude. Those two people will sit in a room tomorrow."
Mr Kim is yet to give up anything he really values, and the North Korean leader will gain political capital by sitting at the same table as President Trump. Images of their meet and greet, and the news of the impending audience with the leader of the free world will only serve to strengthen Mr Kim's internal power.
Meanwhile, President Trump must have a successful outcome to claim a win. In his short tenure at the top, Mr Trump has made a habit of pulling out of accords. The summit is in a fragile state, but Mr Kim may soon achieve what his father and grandfather were unable to — holding a tête-à-tête with a US president.
Read Joyce Karam's analysis for more
Secretary of State Mike Pompeo speaks to a Reuters reporter before President Trump's meeting with Mr Kim tomorrow:
12:20 — Moon Jae-in wants to give North Korea a fresh start
Special national security adviser to South Korean President Moon Jae-in said in Tokyo on Monday that North Korea’s past action should not be used to try to predict its future behaviour.
Moon Chung-in said during a panel discussion that the US had blamed North Korea for breaking promises regarding its nuclear programme in the past, but that it "would have different views".
"Now is the time to set aside all those things. Let us see whether North Korea can deliver what the US wants and the entire world wants," he said.
"Therefore past behaviour should not be the yardstick to judge current or future behaviour of North Korea.”
11:00 — South Korean president Moon will not join Kim and Trump
South Korean president Moon Jae-in has no plans to join Donald Trump and Kim Jong-un at their meeting on Tuesday, a spokesman for Mr Moon said. The South Korean president and North Korean leader have met twice this year, representing a thaw in relations between the two countries who are still officially at war.
Mr Moon indicated that he hopes the summit on Tuesday will lead to a three-way discussion leading to the end of the Korean War, but it is unlikely that this will happen while Mr Kim and Mr Trump were in Singapore.
10:05 — Trump meets the prime minister of Singapore
President Trump thanked the Prime Minister of Singapore, Lee Hsien Loong, for hosting the summit with North Korea. Speaking as representatives took their seats for a working lunch, the US president said it was a "real honour" to be with the Singapore prime minister.
08:26 — Negotiators make final preparations for historic denuclearisation summit
North Korean and US negotiators met in Singapore on Monday for final preparations on the eve of an unprecedented summit between Kim Jong-un and Donald Trump, seeking to bridge the gaps over Pyongyang's nuclear arsenal.
US secretary of state Mike Pompeo said in a tweet on Monday that "substantive and detailed meetings" were held before the historic meeting between the US president and Mr Kim.
Meanwhile, heavy security and armed police were in place at summit-related venues across the city-state.
2:45 — 'Excitement in the air'
President Trump tweets a message of excitement as he wakes for the final day of preparation before his meeting with Kim Jong-un on Tuesday.
US and North Korean delegations arrive
US President Donald Trump and North Korean leader Kim Jong-un arrived in Singapore on Sunday before a summit that represents a high-stakes gamble for both leaders and the first meeting of the two bitter enemies for more than six decades.
Mr Trump landed in Air Force One at Paya Lebar military airbase hours before Mr Kim arrived at Changi International Airport and swept through the city’s roads in a flag-adorned limousine flanked by his convoy of guards.