Dates and venue for the meeting have not been finalised but it will take place by end of May, South Korean officials who mediated between the two sides said.
South Korea's President Moon is said to have hand selected the delegation sent to Pyongyang, with the purpose of opening diplomatic channels between the US and North Korea.
There has been quite a bit of Leftmedia consternation over the implications of Trump's acceptance.
"They've made promises to denuclearize, they've made promises to stop nuclear and missile testing", White House spokeswoman Sarah Huckabee Sanders said.
Eui-yong stated Trump would meet with Kim to permanently denuclearize. "Please send my regards to Marshall Kim Jong-un and his family".
"That's exactly what it is", Brzezinski said. U.S. policy has long resisted offering any validation to the rogue regime - validation it could then leverage geopolitically.
In a statement, posted on Twitter, Sen. Kim pledged that North Korea will refrain from any further nuclear or missile tests. "And to what do you owe this recent openness to talk?"
Kim Jong Un talked about denuclearization with the South Korean Representatives, not just a freeze.
The growing focus on diplomacy has helped ease fears of war in a standoff over North Korea's development of nuclear missiles capable of hitting the United States.
But how excited should we really get about the prospects of a diplomatic breakthrough with Pyongyang? Those stocks are often compared to bonds and they tend to fall when yields move higher, as higher yields make them less appealing to investors seeking income. "They don't come out behind". Essentially, the Americans would have to withdraw militarily from the Asia-Pacific region.
No American President has met a North Korean leader in the 70 years since the communist country was founded.
"It is hard to say that Kim has consolidated his power yet, and it would not be easy for Kim to leave Pyongyang amid enhanced sanctions".
He had briefed the president on a message from Kim earlier in the day.
"I think pressure has certainly brought us to this point". During the Pyongyang talks this week, the two Koreas agreed on a summit in late April, their first since 2007.
Last July, the newly elected South Korean president stunned everyone with his speech in Berlin.
Colorado senator Cory Gardner, chairman of the foreign Relations Committee's East Asia subcommittee, said the president must demand that Kim take "concrete steps toward total denuclearization". He has derided Kim by referring to him as "Little Rocket Man".
Despite its 0.6 percent individual gain on the yen, the dollar index, which measures the greenback against a basket of currencies, was down 0.1 percent due to weakness against the Canadian dollar, the pound to a lesser extent the euro.
China, North Korea's main financial backer. It is cautiously optimistic but wants North Korea to give up nuclear weapons before anything happens. As our correspondent says, it's the political gamble of the century.
"This is his pattern", Brzezinski said.
Want to receive this post in your inbox every morning? A senior US official later said it could happen "in a matter of a couple of months, with the exact timing and place still to be determined". "He didn't, and he got a US state visit".
"There is zero chance Kim Jong Un is going to agree to international inspections that dismantle his nuclear arsenal in the next several months", Mount said.