Trump said last month that he was willing to have the historic meeting with Kim and instructed his aides to arrange it before the end of May.
Japanese Prime Minister Shinzo Abe is scheduled to make a two-day visit with Trump at Mar-a-Lago, the President's resort near Palm Beach, Florida, to coordinate strategy between the allies.
South Korean President Moon Jae In plans to meet Kim at the end of April in the demilitarised zone between the North and South.
White House officials have not said where the Trump-Kim summit will be held. CNN reported that it could be in the Mongolian capital. Ulaanbaatar
"The North Koreans are pushing to have the meeting in their capital, Pyongyang, the sources said, although it is unclear whether the White House would be willing to hold the talks there," CNN reported.
The agenda of the meeting is not yet known, and North Korea has not been clear about what steps it is willing to take to move toward denuclearisation.
During previous negotiations under different US administrations, the North has agreed to freeze its nuclear weapons programme in exchange for the lifting of international economic sanctions, only to violate the agreement by testing more weapons.