"I can not suppress my surprise at such ignorant and stupid remarks gushing out from the mouth of the U.S. vice-president", vice-minister of Foreign Affairs Choe Son Hui said in a statement released by the state-run KCNA news agency.
President Trump said the USA would know next week if a summit would take place.
Trump told reporters Wednesday that "we will know next week about Singapore".
The North's eleventh-hour decision to allow the South Koreans to join came just after Trump met South Korean President Moon Jae-in in Washington to try to keep the Kim-Trump summit from going off the rails.
Pompeo was asked at a congressional hearing if the meeting in Singapore on June 12 will happen or not after Trump said Tuesday "there's a very substantial chance" it won't go off as planned.
Mr Trump later denied the United States would follow the "Libyan model" if an agreement was reached with North Korea.
But there has been increasing pessimism about the meeting after North Korea scrapped the inter-Korean talks and threatened to do the same for the Kim-Trump summit in protest of the South Korea-U.S. military drills and what it calls Washington's push for "one-sided" disarmament.
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It follows a historic meeting between the leaders of the Koreas in April. Libya's longtime autocratic leader Moammar Gadhafi was killed several years later after a Western-backed military intervention. "I don't think I want to totally commit myself". He's said he will succeed where his predecessors failed in persuading North Korea to give up its ambitions to become a nuclear superpower. On Wednesday it was escorting a group of worldwide reporters, including an Associated Press Television crew, to witness the closure of its atomic test site.
Secretary of State Mike Pompeo says the Trump administration will walk away from talks with North Korea if the "right deal" is not on the table for negotiation.
Many observers had argued before Mr Trump met Mr Moon that there was too much at stake for Washington and Pyongyang not to proceed with the Singapore summit.
The North's decision to close the Punggye-ri nuclear test site has generally been seen as a welcome gesture by Kim to set a positive tone ahead of the summit.
"That model would take place if we don't make a deal, most likely". Asked by lawmakers whether he had a commitment from Kim to make it part of a deal, Pompeo said, "We have broad outlines of what it is that each nation is prepared to do".
The summit would offer a historic chance for peace.
The president said he hoped Chinese President Xi Jinping was actually committed to the goal of denuclearizing the Korean Peninsula, calling him a "world-class poker player".