"I think the location and date will be announced over the next couple of days," Trump told reporters.
On Monday, Trump said several sites were still under consideration for the meeting, including Singapore and the demilitarized zone (DMZ) on the border between North Korea and South Korea.
During a rally in the US state of Michigan on Saturday, Trump said his meeting with Kim could happen in the next three or four weeks.
READ MORE: Trump Floats Preference of North, South Korea Border for Kim Meeting
Earlier, North Korean leader Kim Jong-un and South Korean President Moon Jae-in held a historic summit in the "truce village" of Panmunjom. The two officials signed a joint declaration, agreeing to take measures to support international efforts aimed at denuclearization of the Korean Peninsula and proceed with reunion programs for the separated Korean families. The same day, US President Donald Trump said that he would hold a meeting with the North Korean leader in "the coming weeks."