The much-anticipated summit between President Donald Trump and Kim Jong Un is underway.

"We're going to have a great discussion, and I think tremendous success.  It will be tremendously successful.  And it's my honor, and we will have a terrific relationship, I have no doubt," President Trump said.

The two leaders met to discuss North Korea's nuclear program, with the entire world watching. 

The President tweeted this just hours before the sit-down. 

"Meetings between staffs and representatives are going well and quickly....but in the end, that doesn't matter. We will all know soon whether or not a real deal, unlike those of the past, can happen!" Trump wrote.

In the lead up to this meeting, the President said it won't take long for him to determine whether the North Korean leader is there to negotiate in good faith. 

Attempts by past administrations to stop North Korea's nuclear program have fallen short. 

Secretary of State Mike Pompeo made clear that there is one goal. 

"The ultimate objective we seek from diplomacy with North Korea has not changed, the complete, verifiable and irreversible de-nuclearization of the Korean peninsula is the only outcome that the United States will accept," Secretary of State Mike Pompeo. 

Trump will meet with Kim one-on-one, joined only by translators. Then, advisers joined for a working lunch. 

All eyes will be on what comes out of this historic summit, and whether future meetings are a possibility.