South Korea's national security chief, Chung Eui-yong also told reporters at the White House that Kim has has pledged to refrain from further nuclear or missile tests.
President Donald Trump will accept an invitation to meet North Korean leader Kim Jong Un at a place and time to be determined, White House spokeswoman Sarah Sanders said.
"President Trump greatly appreciates the nice words of the South Korean delegation and President Moon. He will accept the invitation to meet with Kim Jong Un at a place and time to be determined."
"We look forward to the denuclearization of North Korea. In the meantime, all sanctions and maximum pressure must remain," she said in a statement."
In a tweet the US President said there must be no missile testing by North Korea during this period of time.
South Korea's national security chief announced the invite on Thursday after briefing White House officials on talks between Seoul and Pyongyang.
"Kim pledged that North Korea will refrain from any further nuclear or missile test," Chung Eui-yong told reporters at the White House.
"President Trump ... said he would meet Kim Jong Un by May," Chung said.