In this handout photo, North Korean leader Kim Jong-un shakes hands with President Donald Trump during their historic U.S.-DPRK summit at the Capella Hotel on Sentosa island on June 12, 2018 in Singapore.

Walking on the colonnade of the Capella Hotel, Kim Jong Un told President Trump many people around the world wouldn't believe what was taking place in Singapore.

"Many people in the world will think of this as a (inaudible) form of fantasy ... from a science fiction movie," Kim told Trump, through a translator.

Kim is currently meeting with President Trump and his top advisers. At the start of the talks, North Korean leader Kim Jong Un acknowledged it wouldn't be a smooth road ahead.

"Of course there are challenges ahead, but I am ("ready" or "willing", unclear) to do this," Kim told the top US leadership.

The two men are due to hold talks until 11:30 a.m. local time (11:30 p.m. ET) when they will hold a working lunch.