This picture taken on May 9, 2019 and released from North Korea's official Korean Central News Agency (KCNA) on May 10 shows North Korean leader Kim Jong Un (R) and US Secretary of State Mike Pompeo (L) shaking hands at the Workers' Party of Korea headquarters in Pyongyang.
Journalists from other countries, including the United States and South Korea, will be invited to cover the event.
Trump has said he wants North Korea to totally abandon its nuclear weapons program and that he is reluctant to let up on the strict sanctions against the North.
It says the date for the dismantlement will be set depending on weather conditions.
The North's announcement comes days after Washington announced that the historic summit between Kim and Trump will be held June 12 in Singapore. Notably, journalists from other nations, including China, Russia, South Korea, the United Kingdom and the USA, will be invited to cover the event.
Images of Kim and Moon shaking hands in late April were seen around the world and now tourists are doing their best to reenact the meeting at a replica of Korea's Truce Village, which is located at a movie set not far from Seoul, the South Korean capital.
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Trump noted, "The true honor [of the situation] is going to be if we have a victory in getting rid of nuclear weapons". The release of the Americans is seen as a goodwill gesture by North Korea ahead of those talks.
According to Chinese academic reports, North Korea's most recent nuclear test in September of what Pyongyang said was a hydrogen bomb, was so large it triggered a collapse inside the mountain, rendering the entire site unusable for future tests.
In November, North Korea boasted that it had developed a missile capable of "striking the whole U.S. mainland".
The North Korean authorities had promised to dismantle the Punggye-ri nuclear test site in May, with the process being made public.
It also said North Korea will provide all worldwide journalists with charter flights from Beijing to North Korea's Wonsan, and from there, they will be offered a special charter train to Pyunggye-ri. "So, it's a good confidence building measure, but not necessarily a sign of irreversible disarmament".
North Korea will blow up the underground tunnels at the test site and seal them, the communist regime's Foreign Ministry said.
In order to accommodate the travelling journalists, North Korea said various measures would be taken including "opening territorial air space".