"We have no intention of giving in to the demands of the United States [put forward at the Hanoi summit] in any form, nor are we willing to engage in such negotiations," Choe said, according to the Russian state news agency TASS, which participated in the press event in Pyongyang.
Choe said that the North is deeply disappointed that the two sides did not reach any agreement at last month's summit between Kim Jong Un and US President Donald Trump in the Vietnamese capital of Hanoi.
Breakdown of talks by the United States, saying that the American delegation was too demanding and inflexible: [The US] "were too busy pursuing their own political interests and had no sincere intention to achieve a result", he added Choe, according to the daily report.
The United States has not yet commented on Choe's comments. On Monday, the US special representative for North Korea said that Washington will not accept a gradual denuclearization by Pyongyang and claimed that the two nations remain closely engaged despite the collapse of the Hanoi summit.
"Let me say that it is obvious diplomacy is still very much alive," Stephen Biegun said at the Carnegie International Nuclear Policy Conference in Washington, DC. "Although we have not made as much progress in the six months as I had hoped to arrive on the first day, we remain closely involved with our counterparts in North Korea."
North Korea recognized for the first time last Friday that the Hanoi summit ended "unexpectedly without agreement." Although he previously painted the Trump-Kim summit in Vietnam positively, state-run KCNA news agency said the meeting did not go well as planned.
The United States hoped that the summit would demonstrate the success of Trump's diplomatic bet with North Korea, but the meeting ended without a joint agreement, after Kim demanded that all US sanctions be lifted in his country .
"Sometimes you have to walk," Trump said during a press conference after the conclusion of the talks, which broke earlier than expected. "This was just one of those times."
CNN Jamie Crawford and Barbara Starr contributed to this report.