INTERNATIONAL NEWS - News of the meeting was delivered by South Korean officials after talks with Mr Trump at the White House.
They passed a verbal message from Mr Kim, saying the North Korean leader was "committed to denuclearisation".
South Korea's President Moon Jae said the news "came like a miracle".
"If President Trump and Chairman Kim meet following an inter-Korean summit, complete denuclearisation of the Korean Peninsula will be put on the right track in earnest," he said.
The development came days after the South Korean delegation met Mr Kim in Pyongyang.
Speaking outside the White House after briefing Mr Trump, South Korean National Security Adviser Chung Eui-yong passed on a message that Mr Kim was "committed to denuclearisation" and had "pledged that North Korea will refrain from any further nuclear or missile tests".
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Mr Trump said the development was "great progress" but that sanctions on North Korea would remain in place until a firm agreement was reached.
