"If the USA is trying to drive us into a corner to force our unilateral nuclear abandonment, we will no longer be interested in such dialogue", first vice foreign minister Kim Kye Gwan said in a statement carried by state media.
Asked later on Wednesday if the summit would go ahead, Mr Trump said: "We'll have to see".
Although the US stated Thursday that summit preparations are moving forward, North Korea's threat to cancel the planned talks with the USA signals its frustration over Washington's position on how to denuclearize Pyongyang, said former USA officials who dealt with North Korea extensively.
North Korea's latest statements have echoed the Kim regime's verbal attacks before a recent thaw in ties with South Korea and the U.S. We're going give you military strength.'. To mark the anniversary, Trump lawyer Rudy Giuliani sought to steer the media narrative by saying Mueller's team concluded they can not indict a sitting president. Some members of the global community urged Trump to remain calm and do what he could to ensure the meeting took place.
Mr Trump distanced himself from comments on Wednesday by his national security adviser John Bolton, which North Korea had angrily denounced and prompted it to cast doubt on the summit planned for 12 June in Singapore.
National Security Adviser John Bolton drew Kim's fury by saying Sunday his nuclear disarmament should follow the "Libya model" once embraced by Moammar Qaddafi, who was overthrown and killed in a US -backed rebellion. -South Korean drills were a "provocation". "He will get protections that are very strong", he said, adding "the best thing he could do is make a deal". We'll see what happens.
A statement published by the state-run Korea Central News Agency, said North Korea would never accept economic assistance from the U.S. in exchange for unilaterally abandoning its nuclear programme.More news: We'll take no lessons from country that occupies Cyprus, Netanyahu tells Erdogan
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"Now, that model would take place if we don't make a deal, most likely", he warned Pyongyang. He told "Fox News Sunday" over the weekend, "We will have to provide security assurances, to be sure". "If the meeting happens, it happens and if it doesn't, we go into the next step".
Nuclear diplomacy with Pyongyang is the president's top foreign policy priority, so it would be major blow to Trump if the talks with Kim fell through.
He said the United States government had not received any official word of a change in plans for the June 12 meeting in Singapore.
Cancellation of the summit, the first between the United States and North Korean leaders, would deal a major blow to what could be the biggest diplomatic achievement of Trump's presidency, one his supporters have suggested would be worthy of a Nobel Peace Prize.
Washington and Pyongyang are continuing talks over the method and timing for the dismantling of North Korea's nuclear arsenal. There was no deal to keep Gadhafi. Pyongyang released three American detainees last week in a show of good faith, and President Trump praised North Korean leader Kim Jong-un for being "excellent" to the men who were imprisoned under questionable circumstances.
"The North Koreans want a change in tone from the USA, and at least so far, they're not hearing one", Mr. Pollack said.
For decades, Washington has watched in horror as North Korea - propped up by trade with China - has made a series of technological leaps toward building a missile capable of carrying a nuclear weapon to USA cities.