Scientists previously said the site may have partially collapsed in September. The move is due to take place three weeks before US President Donald Trump meets North Korean leader Kim Jong-un.
In April, South Korean officials said Mr Kim had stated he "would carry out the closing of the nuclear test site in May", adding that nuclear experts from South Korea and the US would be invited to watch. Their comments came after talks between Mr Kim and South Korea's President Moon Jae-in.
However there was no mention of allowing foreign experts access to the site in Saturday's statement from North Korea.
Six nuclear tests have been carried out there since 2006. After the most recent test, which took place in September 2017, a series of aftershocks hit the site, which seismologists believe collapsed part of the mountain's interior .
Mr Trump and Mr Kim are due to meet in Singapore on 12 June. It will be the first time a sitting US president has ever met a North Korean leader.
The key issue expected to be discussed is North Korea's nuclear weapons programme, over which the two leaders furiously sparred in 2017. The US wants Pyongyang to give up its weapons programme completely and irreversibly.
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FACEBOOK COMMENTS
Frank Imeh
aaaaaaah, no no no. He should leave the site for me and my fellow naija youths, we know wer to target our weapon to and bring the place down. Or he should cum and assemble the site in naija for the use of naija unemployed lazy youths. Mr endy, we need that site or wat do u tink?
Endy Edeson
Frank, you are looking for Donald Trump trouble oooo. Trump will immediately deploy US troops to watch over "Naija". It won't be funny my brother. I fear Trump a lot. That guy is powerful
Jesse Osayande Vucinic Ehiagwina
Nothing here. NK won't give up their programme. Won't allow inspectors in. They just want to buy time and money which they need. I don't think they're stupid enough to think after decades of aggression against them then West would be cozy. The nuclear programme is the only thing that guarantees their safety
Endy Edeson
@Jesse, I beg to disagree. Jong-un really wants peace with Western world, if he continues with the nuclear weapons, North Korea's economy will be affected. In fact, their economy is even bad following many sanctions on export / trade from western countries
Jesse Osayande Vucinic Ehiagwina
Exactly. Cautious peace dependent on their security. If that is threatened he'll pull out again. He has built up their nuclear capabilities all these years and feels now he has leverage to come out. He isn't going to throw away years of investing billions to the programme. He will get aid and he will keep his nuclear programme.
Endy Edeson
@Jesse, are you saying, he is just doing this for now, even if he did not continue the nuclear programme, his successor will do?
Jesse Osayande Vucinic Ehiagwina
NK know their safety depends on having such a programme. When you're the most sanctioned nation in the world you will be on edge. When you have been victims for decades you'll be wary and trust will be a hard commodity to sell. Also the people of the country would not just allow a leader that will stop that programme and put them in danger because they do see having a nuke as their safety valve