Another handshake and a chatpublished at 07:52 British Summer Time 30 June 2019
This is a little more than a brief handshake - it seems Mr Kim and Mr Trump are now having an informal chat, amid the media scrum.
President Trump met the North Korean leader, Kim Jong-un at demarcation line between North and South Korea
The two men shook hands with Mr Kim saying he had never expected to meet the president at this place
Mr Trump then crossed over into North Korea, the first US President to do so
Mr Kim then stepped over into the South with Mr Trump, then greeted the South Korean president Moon Jae-in
Amid the theatre, the leaders held hour-long talks, agreeing to set up negotiating teams to continue discussions
Anna Jones, Ashitha Nagesh and Saira Asher
This is a little more than a brief handshake - it seems Mr Kim and Mr Trump are now having an informal chat, amid the media scrum.
Mr Trump thanks Mr Kim, and adds that the two of them have "a great friendship".
"We met and liked each other from day one," Trump adds.
Kim Jong-un says of Mr Trump stepping into North Korea: "It's a very courageous and determined act."
And Mr Kim has followed Mr Trump back into South Korea.
No sitting US president has ever stepped into North Korea before.
"It's nice to see you again," Mr Kim tells President Trump. "I never expected to meet you in this place."
Mr Trump has stepped over the demarcation line and is now in North Korea.
US President Donald Trump and North Korean leader Kim Jong-un are shaking hands in the demilitarised zone (DMZ) that separates North and South Korea.
Don't forget this meeting comes only 10 days after Chinese President Xi Jinping made his first official visit to Mr Kim in Pyongyang. China is North Korea's primary partner and North Korea needs China's support for progress on sanctions. It will also need Chinese investment if sanctions are lifted.
Mr Xi will no doubt have spoken to Mr Kim about the US relationship. It's unclear how much that Pyongyang trip influenced his decision to meet Mr Trump today. But Mr Xi will know that he has re-emphasised his role in proceedings.
We're seeing live footage now from inside Panmonjom and the famous blue huts which both countries share and where negotiations have previously taken place.
If you want a quick summary of how we got here, while we wait for this historic handshake, have a look at our North Korea crisis in 300 words.
Speaking in the DMZ
"We’ve become uh…we respect each other…maybe even like each other…" - Mr Trump on his relationship with Kim Jong-un.
South Korean President Moon Jae-in has been showing Mr Trump around military installations at the border.
Laura Bicker
BBC News
There must have been a real scramble behind the scenes with State Department officials trying to figure out the logistics of this historic meeting.
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Everyone is stressing that this will just be a symbolic meeting. Mr Trump has said they will "just shake hands quickly and say hello because we haven't seen each other since Vietnam" - that's their last summit.
We haven't heard anything from Mr Kim yet.
Mr Trump's already differs from previous US presidential visits to the DMZ. His predecessors have stopped at the viewing point and looked at North Korea through binoculars. Crossing into the DMZ itself, even without the handshake, is unprecedented.
The US military leaders have just given Mr Trump a golfing jacket "as a token of our appreciation".
It carries the motto of the joint troops at the DMZ - We Go Together.
Mr Trump and Mr Moon are inside the Panmunjom peace zone, where negotiations between the two Koreas have taken place in the past.
Mr Trump confirmed he "had the idea" only on Saturday to call Mr Kim. "I'm going to meet him in about four minutes", he says.
After huge expectations, the Hanoi summit in February failed to deliver concrete progress. Mr Trump said this was because the North Koreans were not giving enough. The statemate is largely over whether North Korea should give up nuclear weapons (or start doing so) before sanctions are reduced or they should be cut as an incentive to do so.
So far, we don't know they've found a way to resolve this problem.
Analyst Ankit Panda wonders what - if anything - North Koreans themselves will be told about the meeting.
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This image shows Mr Trump and Mr Moon looking across the DMZ into North Korea. They were given a tour by South Korean and US military chiefs based at the border zone.