It is the third time the two leaders have met, and the first since a failed summit on the North's nuclear program in Vietnam earlier this year. Trump briefly crossed the border into North Korea after greeting Kim.
There are as yet no indications of a breakthrough in the stalled negotiations to end the North's nuclear program.
President Donald Trump is meeting with several dozen troops stationed at the Korean Demilitarized Zone separating South and North Korea and telling them, "We're with you all the way."
The troops include both U.S. solders as well as South Korean troops.
Trump was joined by South Korean President Moon Jae-in, who is praising Trump for deciding to meet shortly with North Korea's Kim Jong Un. He's calling it "a bold decision"
Trump has at times appeared to question the value of keeping U.S. troops on the Korean Peninsula in light of the U.S.-South Korea trade deficit.
President Donald Trump is griping about the press not giving him sufficient credit for improved U.S. relations with North Korea as he pays an historic visit to the Korean Demilitarized Zone.
Trump is telling reporters as he stands atop Observation Post Ouellette that there has been "tremendous" improvement since his first meeting with the North's leader Kim Jong Un in Singapore last year.
Trump says the situation used to be marked by "tremendous danger," but that, "After our first summit, all of the danger went away."
And he's chastising reporters, saying "they have no appreciation for" for changes in the North, which he's calling a "very different place."
Trump has been criticized for meeting again with Kim when the North continues to test short-range missiles and has not moved forward with a pledge to denuclearize.
President Donald Trump is getting his first glimpse of North Korea from an observation post in the Korean Demilitarized Zone.
Trump, wearing a suit, is being shown various landmarks as he stands atop Observation Post Ouellette.
It's his first stop on his first visit to the border between the North and the South, which will include another face-to-face meeting with North Korea's Kim Jong Un. His last attempted visit was thwarted by bad weather.
South Korean President Moon Jae-in announced earlier Sunday that Kim had accepted Trump's tweeted invitation to meet at the heavily fortified site at the Korean border village of Panmunjom
President Donald Trump is making his first visit to the Korean Demilitarized Zone ahead of a meeting with North Korea's Kim Jong Un.
Trump arrived by helicopter Sunday near the Panmunjom truce village. He was also expected to visit an observation post and greet U.S. and South Korean troops.
Trump told reporters at a news conference with South Korean President Moon Jae-in that he and Kim will "just shake hands quickly and say hello" at the historic meeting at the Korean border village.
Trump on Saturday invited Kim to meet him at the border for a symbolic handshake. He expressed openness to briefly crossing into North Korean territory if Kim accepted.
Every president since Ronald Reagan has visited the 1953 armistice line, except for George H.W. Bush, who visited as vice president.
President Donald Trump is on his way to the Korean Demilitarized Zone for a historic meeting with North Korea's Kim Jong Un.
Trump departed Seoul by helicopter on Sunday afternoon shortly after South Korean President Moon Jae-in announced that Kim had accepted Trump's invitation to meet at the heavily fortified site at the Korean border village of Panmunjom.
Trump told reporters before departing that he looked forward to seeing Kim and to "shake hands quickly and say hello."
The meeting is set to mark yet another historic first in the yearlong rapprochement between the two technically warring nations. It also marks the return of face-to-face contact between the leaders since negotiations to end the North's nuclear program broke down during a summit in Vietnam in February.