Ahn Young-joon, Associated Press
People watch a TV screen showing North Korean leader Kim Jong Un, left, meeting with South Korean National Security Director Chung Eui-yong in Pyongyang, North Korea, at the Seoul Railway Station in Seoul, South Korea, Wednesday, March 7, 2018. After years of refusal, North Korean leader Kim Jong Un is willing to discuss the fate of his atomic arsenal with the United States and has expressed a readiness to suspend nuclear and missile tests during such talks, a senior South Korean official said Tuesday. Korean characters seen on the screen read: "South Korea-U.S. joint military drills."

WASHINGTON — President Donald Trump has accepted an offer of a summit from the North Korean leader and will meet with Kim Jong Un by May, a top South Korean official said Thursday, in a remarkable turnaround in relations between two historic adversaries.

The South Korean national security director, Chung Eui-yong, told reporters of the planned meeting outside the White House, after briefing Trump and other top U.S. officials about a rare meeting with Kim in the North Korean capital on Monday.

No serving American president has ever met with a North Korean leader. The U.S. and North Korea do not even have formal diplomatic relations. The two nations remain in a state of war because the 1950-53 Korean War ended with an armistice and not a peace treaty.

Seoul had already publicized that North Korea had offered talks with the United States on denuclearization and normalizing ties, providing a diplomatic opening after a year of escalating tensions over the North's nuclear and missile tests. The rival Koreas also agreed to hold a leadership summit in late April.

"He (Kim) expressed his eagerness to meet President Trump as soon as possible," Chung said. "President Trump appreciated the briefing and said he would meet Kim Jong Un by May to achieve permanent denuclearization."

Chung did not say where Trump would meet with Kim. The White House said Trump's meeting with Kim would take place "at a place and time to be determined."

Trump took office vowing to stop North Korea from attaining a nuclear-tipped missile that could reach the U.S. mainland. He's oscillated between threats and insults directed at Kim, and more conciliatory rhetoric. His more bellicose talk, and Kim's nuclear and missile tests, have fueled fears of war.

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Trump, who has ramped up economic sanctions on North Korea to force it to negotiate on giving up its nukes, has threatened the pariah nation with "fire and fury" if its threats against the U.S. and its allies continued. He has derided Kim by referring to him as "Little Rocket Man."

After Kim repeated threats against the U.S. in a New Year's address and mentioned the "nuclear button" on his office desk, Trump responded by tweeting that he has a nuclear button, too, "but it is a much bigger & more powerful one than his, and my Button works!"

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Associated Press writers Jill Colvin, Zeke Miller, Catherine Lucey, Ken Thomas and Darlene Superville contributed to this report.