Tuesday's meeting is the first time a sitting US president has ever met with a North Korean leader.
Trump And Kim Jong Un Share Historic Handshake
President Donald Trump and North Korean leader Kim Jong Un have shared a historic handshake as they meet for the first time.
The two clasped hands for a long while Tuesday as they posed for photos in front of a row of US and North Korean flags.
Trump then directed Kim to walk down a hallway, where they briefly spoke.
Addressing the media briefly after their handshake Trump said while sitting next to Kim: "It's my honor -- we will have a terrific relationship, I have no doubt".
Kim Jong Un in turn said: "We overcame all obstacles and came here today."
Tuesday’s meeting is the first ever between a sitting US president and North Korean leader.
The two leaders are expected to meet alone, with a pair of translators, for about 45 minutes.
Trump has said he’ll know within minutes whether a deal can be made to settle a standoff over Pyongyang’s nuclear program.
Trump earlier defended his decision to meet with Kim, tweeting that North Korea has already released three detainees and that missile tests have halted.