The meeting would be the latest in a series of actions taken by North Korea that have spurred hopes that the seven-decade conflict on the Korean Peninsula may be coming to an end.
An incremental North Korean approach to denuclearisation at a June 12 summit with President Donald Trump will not be acceptable to the US president or the people of South Korea, South Korea's special national security adviser said on Tuesday.
North Korea has threatened to cancel next month's meeting with President TrumpDonald John TrumpAvenatti defends right to release Cohen's financial info Pruitt's 24/7 security requested over fears of Trump policy backlash Senate GOP anger over McCain insult grows MORE over joint military exercises between South Korea and the U.S.
Besides, Mr Trump will go into the talks with the disadvantage of having pulled the United States out of the Iran nuclear deal - a move that is certain to have contributed to some amount of misgiving and suspicion in Pyongyang on Washington's reliability as a trustworthy negotiator.
Tensions with North Korea have eased, but the United States and South Korea have agreed US troops should stay on the peninsula.
The move to suspend talks is also putting North Korea-US talks in jeopardy as North Korea is threatening to suspend the US summit as well.
North Korea said on Wednesday it had no choice but to suspend high-level talks with South Korea scheduled for later in the day due to U.S.
Any sort of cap on North Korea's nuclear programme will be welcomed by countries such as India, which have for long warily watched the nation's proliferation linkages with Pakistan.
Bolton appeared on Sunday talk shows, during which the June 12 meeting between Trump and the North Korean leader dominated the proceedings.
"But we're hopeful that this will be different, that we don't do the traditional model, where they do something, and we give them a bunch of money, and then both sides walk away", he added.