The world sees the move by Kim Jong-un as a first step towards reconciliation of the two Koreas and a beacon of hope for the Korean peninsula which has been at loggerheads since the end of the Korean War in 1953.
Aljazeera reported that top on the agenda for this high level discussion is on the denuclearisation of the Korean Peninsula and a permanent peace deal between the two countries.
In his official address, Kim said he hoped for talks that are "honest, frank and with intent". "I hope that there is new history written with regards to peaceful prosperity and I will approach this with the feeling of a brand new start," the North Korean leader said.
While the meeting was taking place there were rallies in Paju, South Korea, one camp demanded cancellation of the talks with the North while the other camp raised flags of the unified Korean peninsula.
Moon observed that there are high expectations from the meeting. "Let's approach this discussion boldly and wishing for peace. I would like to give something very big to the people watching us. We have all day to talk and let's do so and make up for the 10 years that we have let pass," he said.
Historically, it is reported that the Korean War fought between 25 June 1950 to 27 July 1953, was relatively short but exceptionally bloody. Nearly 5 million people died. Almost 40,000 Americans who rallied behind South Korea died in action in Korea, and more than 100,000 were wounded.