SEOUL, South Korea — North Korea dismissed President Trump’s national security adviser, John Bolton, as “dim-sighted” on Saturday, after he said the North would have to show more evidence that it was ready to give up nuclear weapons before Mr. Trump would hold another meeting with its leader, Kim Jong-un.

It was the latest signal of impatience from North Korea, which has grown increasingly strident since the second summit meeting between Mr. Kim and Mr. Trump, held in Hanoi, Vietnam, in February, ended abruptly without a deal. The breakdown of the meeting was considered a huge embarrassment for Mr. Kim, who had to return home empty-handed, without badly needed relief from sanctions.

In an interview with the Bloomberg News agency on Wednesday, Mr. Bolton said a third summit meeting would be possible only after “a real indication from North Korea that they’ve made the strategic decision to give up nuclear weapons.”

Speaking to the North’s official Korean Central News Agency, First Vice Foreign Minister Choe Son-hui called Mr. Bolton’s remark “nonsense.”