South Korea said President Moon Jae-in would personally meet Mr Kim at the border at 09:30 (00:30 GMT) on Friday.
The historic summit will focus on the North's recent indications it could be willing to give up its nuclear weapons.
Talks are also proposed between Mr Kim and US President Trump by early June.
Mr Kim is set to cross the military demarcation line - a clearly defined marker of the official land border between the territories. He will, however, remain within the Demilitarised Zone.