The peninsula remains bisected in a perpetual stalemate, with the USA -backed South Korean military lined up against more than a million North Korean troops.
On last year's Day of the Sun, Kim put on a military parade bristling with his latest ballistic missiles, exacerbating global tension over his nuclear weapon and missile programmes.
The delegation of the Republic of Korea on March 5 met with the leader of the DPRK in Pyongyang.
Kim and Ri Sol Ju watched the troupe perform choreodrama "Red Women Company" at the East Pyongyang Grand Theatre on Monday, the Korean Central News Agency said.
"The inter-Korean summit can be seen as a touchstone, an overture ahead of a more important North Korea-US summit", he said, adding that if both summits were a success "many possibilities", such as normalization of political relations, economic cooperation, etc., would open up for all the participants, especially Pyongyang.
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Kim and Chinese President Xi Jinping agreed during their first-ever summit in Beijing in late March to promote cultural exchanges.
South and North Korea are discussing plans to announce an official end to the military conflict between the two countries that are still technically at war, the Munhwa Ilbo newspaper reported, citing an unidentified South Korean official.
South Korean President Moon Jae-in is to meet North Korean leader Kim Jong Un at the truce village of Panmunjom on April 27th.
The two Koreas have yet to sign a peace treaty to replace the 1953 armistice that ended combat operations in the Korean war, with the USA and North Korea still at loggerheads after the three-year conflict ended. Meeting Kim Jong-UN and Donald trump is expected to take place in may or June of this year.
Im Jong-seok, the presidential chief of staff, said the inter-Korean summit would be a historic event because it would be the first time a North Korean leader had set foot on South Korean soil.
The recent thaw between Seoul and Pyongyang follows months of soaring tensions as the North conducted its most powerful nuclear test and launched more than 20 missiles - including two intermediate-range weapons that flew over Japan and another long-range missile that experts say puts the whole of the United States in striking distance.