President of the United States of America Donald Trump on Sunday made history as he became the first sitting US President to step foot on North Korean soil where he met Pyongyang's leader Kim Jong Un in the Demilitarized Zone (DMZ) dividing the peninsula, in a symbolic diplomatic spectacle.

After shaking hands with Kim Jong over the line that marks where their two countries and their allies fought each other to a standstill in the 1950-53 Korean War, Trump walked for several steps into North Korean territory, before another handshake.

The two men then walked into Seoul's territory together — pausing on the line for photographers — where they were joined by South Korean President Moon Jae-in.

"It's a great day for the world and it's an honor for me to be here," Trump said, adding, "A lot of great things are happening."

DMZ's impromptu meeting came after Trump issued an invitation on Twitter on Saturday.

It comes with negotiations between Pyongyang and Washington over the North's nuclear arsenal at a deadlock.

Donald Trump earlier had said that the two "would "just shake hands quickly and say hello because we haven't seen each other since Vietnam".

It may be mentioned here that their first summit took place in a blaze of publicity in Singapore in 2018 but produced a vaguely-worded pledge about denuclearisation, and a second meeting in Vietnam in February intended to put flesh on those bones broke up without agreement.

And since then, the contact between the two sides has been minimal – with Pyongyang issuing frequent criticisms of the US position – but the two leaders have exchanged a series of letters and the US President turned to Twitter on Saturday to issue his offer.