U.S. President Donald Trump speaks to reporters while North Korea's leader Kim Jong-un looks at the signed document that acknowledges the progress of the talks and a pledge to keep the momentum going, after their summit. Reuters

By Jung Min-ho

U.S. President Donald Trump said Tuesday he would "absolutely" invite North Korean leader Kim Jong-un to the White House.

After the two leaders signed a "comprehensive" document about their agreements during an historic summit in Singapore, Trump said, "Absolutely, I would" invite Kim.

Before their meeting, Trump had dangled the prospect of a White House visit for Kim.

The two characterized the document they signed as "historic."

"We're signing a very important document, pretty comprehensive document, and we've had a really great time together, a great relationship," Trump said.

"We have developed a special bond. The meeting was far better than anybody ever predicted."

Asked about denuclearization, Trump said, "We are starting the process very, very quickly."

Kim said he had a "very historic meeting" with Trump.

"We're about to sign an historic agreement, and the world will see a major change," he added.

When Trump was asked if he and Kim would meet again, Trump said, "We'll meet again, we'll meet many times."

He said they had learned "a lot about each other."