Kim Jong‑un will discuss a "permanent....peace‑keeping mechanism" with US President Donald Trump when they meet on Wednesday.
Both leaders have arrived in Singapore in preparation for their much anticipated, historic first encounter.
Kim said "the entire world was watching" while Trump said he had a good feeling about the summit.
An editorial in North Korea's official state newspaper has hinted at a possible "normalising" of US ties.
The US wants North Korea to give up its nuclear weapons but it is not clear what Pyongyang might want in return.
The two leaders are staying in separate hotels, not far from each other. Kim is staying at Singapore's five‑star St Regis hotel, while Trump is staying about half a mile away at the Shangri La.
They are scheduled to meet on the resort island of Sentosa.
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