Trump and North Korean leader Kim are expected to meet in late May or early June to discuss the denuclearization of the regime.

To prepare for the summit, Trump on Tuesday dispatched his secretary of state, Mike Pompeo, to Pyongyang for the second time in just over a month.

"I think the message to North Korea is the president wants a real deal; that what we're asking for, what Secretary Pompeo will be discussing with people in North Korea when he arrives there in further preparation for the meeting with Kim Jong-un is -- in part, rests on what North Korea itself agreed to going back to the 1992 joint North-South denuclearization declaration," Bolton said.

That declaration called for the "elimination of both the front and the backend of the nuclear fuel cycle; no uranium enrichment; no plutonium reprocessing," he said. "There are other things we'll be asking for as well."

The Iran deal, according to Bolton, failed to eliminate the threat of nuclear proliferation.

"A deal that we hope to reach, the president is optimistic we can reach with North Korea, will address all those issues," he said. (Yonhap)