The leaders of North and South Korea have signed a declaration agreeing to work for the "complete denuclearisation of the Korean peninsula" following a landmark summit.
At their first summit in more than a decade, the two sides announced on Friday they will seek an agreement to establish "permanent" and "solid" peace on the peninsula.
They said they will this year seek a permanent end to the Korean War, rather than a peace treaty.
The declaration includes promises to pursue military arms reduction, cease "hostile acts," turn their fortified border into a "peace zone" and seek multilateral talks with other countries, such as the United States.
"South and North Korea confirmed the common goal of realising, through complete denuclearisation, a nuclear-free Korean peninsula," they said in a joint statement.
The two Koreas will seek meetings with the US and possibly China - both of them parties to the ceasefire - "with a view to declaring an end to the War and establishing a permanent and solid peace regime", they said in a joint statement.
North Korean leader Kim Jong-un also promised not to repeat the "mistakes of the past".
Kim and South Korean leader, Moon Jae-in, also agreed to hold a reunion in August of families left divided when the Korean War ended 65 years ago.
Around 57,000 families in the South still have members in the North, one of the most emotive issues remaining from the conflict.
"South and North Korea agreed to proceed with reunion programmes for the separated families on the occasion of the National Liberation Day of August 15 this year," they said in a statement, referring to Japan's surrender at the end of World War II.
Earlier, the two leaders shook hands over the Military Demarcation Line that divides their countries, in a gesture laden with symbolism.
"I am happy to meet you," a smiling Moon told Kim before the visitor stepped over the concrete blocks, making him the first North Korean leader to set foot in the South since the Korean War ended in an armistice 65 years ago.
At Kim's impromptu invitation the two men briefly crossed hand-in-hand into the North before walking to the Peace House building on the southern side of the truce village of Panmunjom for the summit - only the third of its kind since hostilities ceased in 1953.
Kim was "flooded with emotion", he told Moon as the meeting began.
"I came here determined to send a starting signal at the threshold of a new history," he said, promising a "frank, serious and honest mindset".
He also urged "candid talks for good results" and said of the talks, "this is a starting point for us, I believe we'll make a new beginning".
With the North's atomic arsenal high on the agenda, Moon responded that he hoped they would reach "a bold agreement so that we may give a big gift to the whole Korean people and the people who want peace".
Kim was flanked by his sister and close adviser Kim Yo Jong and the North's head of inter-Korean relations, while Moon was accompanied by his spy chief and chief of staff.
AP reports Kim told Moon he "won't interrupt your early morning sleep anymore," referring to missile tests. Moon also suggested more summits, as Kim offered to visit the South Korean presidential mansion.
During the meeting, the leaders discussed denuclearisation and a permanent peace on the peninsula, Moon's spokesman said.
"The two leaders had a sincere and frank dialogue over the denuclearisation and the establishment of permanent peace of the Korean peninsula and development of inter-Korea ties," said Yoon Young-chan.
It is the highest-level encounter yet in a whirlwind of nuclear diplomacy, and intended to pave the way for a much-anticipated encounter between Kim and US President Donald Trump.
The North's official KCNA news agency said that Kim will "open-heartedly discuss... all the issues arising in improving inter-Korean relations and achieving peace, prosperity and reunification of the Korean peninsula".
But it did not mention denuclearisation, and as images of the leaders' handshake were beamed around the world, the North's state television showed only a test card.
Last year Pyongyang carried out its sixth nuclear blast, by far its most powerful to date, and launched missiles capable of reaching the US mainland.
Its actions sent tensions soaring as Kim and Trump traded personal insults and threats of war.
Moon seized on the South's Winter Olympics as an opportunity to broker dialogue between them, and has said his meeting with Kim will serve to set up the summit between Pyongyang and Washington.
The White House said in a statement that it hoped the summit would it would "achieve progress toward a future of peace and prosperity for the entire Korean Peninsula".
Trump has demanded the North give up its weapons, and Washington is pressing for it to do so in a complete, verifiable and irreversible way.
But Seoul played down expectations Thursday, saying the North's technological advances with its nuclear and missile programmes meant any deal would be "fundamentally different in nature from denuclearisation agreements in 1990s and early 2000s".
"That's what makes this summit all the more difficult," the chief of the South's presidential secretariat Im Jong-seok told reporters.
Peace and denuclearisation
Pyongyang is demanding as yet unspecified security guarantees to discuss its arsenal.
When Kim visited the North's key backer Beijing last month in only his first foreign trip as leader, China's state media cited him saying that the issue could be resolved, as long as Seoul and Washington take "progressive and synchronous measures for the realisation of peace".
In the past, North Korean support for denuclearisation of the "Korean peninsula" has been code for the removal of US troops from the South and the end of its nuclear umbrella over its security ally - prospects unthinkable in Washington.
"The big issues we know are peace and denuclearisation," Yonsei University professor John Delury told AFP.
The two Koreas "can do a lot more on peace than on denuclearisation", he said, but the post-summit statement will give "a lot of chance to analyse every word, reading between the lines, look for things that are there and not there".
Pyongyang announced last week a moratorium on nuclear tests and intercontinental ballistic missiles, adding it would dismantle its Punggye-ri nuclear test site.
But it also said it had completed the development of its weapons and had no need for further tests.
Tree planting
Seoul has also promoted the idea of opening talks towards a peace treaty to formally end the 1950-53 Korean War, when hostilities stopped with a ceasefire, leaving the neighbours technically in a state of conflict.
Reunions of families left divided by the war could also be discussed at the summit, and Moon has told Japanese Prime Minister Shinzo Abe he will raise the emotive subject of Japanese citizens kidnapped by the North.
After a morning session lasting an hour and 40 minutes, Kim crossed back to the North for lunch, a dozen security guards jogging alongside his limousine.
Before the afternoon session, Moon and Kim are to hold a symbolic tree planting ceremony on the demarcation line.
The soil will come from Mount Paektu, on the North's border with China, and Mount Halla, on the South's southern island of Jeju.
After they sign an agreement a joint statement will be issued, with a banquet and farewell ceremony to follow in the evening before Kim returns to the North.
