The South's Unification Minister Cho Myoung-gyon said that they agreed to discuss denuclearization on the peninsula the key agenda item at the summit, as well as how to bring sustainable peace and develop inter-Korea relations.
At the meeting in Beijing, the North Korean leader repeated his offer to denuclearise the Korean Peninsula.
The two Koreas had agreed to hold the summit at the border truce village of Panmunjom when South Korean President Moon Jae-in sent a delegation to Pyongyang this month to meet North Korean leader Kim Jong Un.
The government of Kim Jong-un has informed leaders of North Korea's ruling Korean Workers Party of the possibility of summits with Japan, Russia and other countries, the newspaper said, citing an unidentified North Korean source and briefing papers.
A survey conducted by RealMeter in South Korea on Monday said 73.1 percent of respondents welcomed North Korea's proposal for dialogue and willingness for denuclearisation.
Kim pledged that he was "committed to denuclearisation" on the Korean peninsula, according to China's Xinhua news agency - but added that it was dependent on South Korea and the USA taking what he called "progressive and synchronous measures for the realisation of peace". The Korean Peninsula was divided in 1945 into a US -dominated south and Soviet-backed north, three years before the Koreas each became sovereign nations.
The date was announced after high-level officials from the two sides met in the border village Panmunjom on Thursday to prepare for the summit.
The agreement on the date for the upcoming meeting comes after Kim traveled to China and met with its leader Xi Jinping, who has always been the hermit kingdom's biggest ally but has recently agreed to stricter sanctions against it.
President Donald Trump speaks at Local 18 Richfield Training Facility Thursday in Richfield. PABLO MARTINEZ MONSIVAIS AP
While Moon has been consistently pro-engagement, he has also supported US President Donald Trump's tough line on North Korea's nuclear and weapons testing, which has included stringent economic sanctions and threats of military retaliation.
In principle, Pyongyang's agenda was "not too different" from that of Seoul, Cho continued, and the two leaders will basically talk about denuclearizing and establishing a "peace regime" on the Korean Peninsula, and improving South-North ties.
At a summit with Xi in Beijing on Monday, Kim was quoted by Xinhua News Agency as saying the objective of his visit to China was to "enhance strategic communication and deepen traditional friendship" between the two nations.
Kim said on his trip to Beijing that the situation on the Korean Peninsula was starting to improve after Pyongyang took the initiative to ease tensions and proposed peace talks.
Trump on Wednesday tweeted his optimism: "Now there is a good chance that Kim Jong Un will do what is right for his people and for humanity".
President Moon Jae-in will also receive a courtesy visit from Yang on Friday.
It's unclear whether the leaders' meetings could lead to any meaningful breakthrough. However, the North has yet to officially confirm its interest in a summit between Kim and Trump.
But a rapid rapprochement on the peninsula was kicked off by the Winter Olympics in the South and events have moved quickly since then, with a flurry of official visits between the two Koreas.
The talks will precede musical performances in Pyongyang in early April by a group of South Korean singers.