In 2017, amid escalating nuclear tensions between Washington and Pyongyang, Mr. Trump threatened to "totally destroy North Korea" if it threatened the United States, and called Kim Jong-un a "little rocket man" on a "suicide mission".
Asked on Monday about the administration's blocking of the meeting, a State Department spokesman said any discussion of North Korea by the Security Council should cover recent developments on the Korean Peninsula, including missile launches by Pyongyang and a test at a satellite launch site.
The DPRK is seeking a comprehensive deal that includes sanctions relief, while Washington insists on a full and complete denuclearization.
Kim Yong-chol, a hard-liner who speaks for the North Korean military, issued a statement criticizing Mr. Trump hours after the American leader warned on Twitter on Sunday that Kim Jong-un had "far too much to lose, everything actually, if he acts in a hostile way".
But Kim Yong Chol, who served as the North's counterpart to U.S. Secretary of State Mike Pompeo until the collapse of the Hanoi meeting, slammed Trump's "odd words and expression", referring to him as a "heedless and erratic old man".
North Korea's state TV showed aerial footage of the resort, including its red-roofed hotels, hot spring spas, ski slope and horse-riding park.
The United Nations Security Council is expected to meet on Wednesday to discuss North Korea's missile program.
The meeting will look at "recent missile launches and the possibility of an escalatory DPRK provocation", the spokesperson said, referring to the North by its official name, the Democratic People's Republic of Korea.
The Security Council also met last week behind closed doors at the best of European nations to condemn 13 missile tests by North Korea.
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In another statement carried by KCNA, he said the USA president should "think twice if he does not want to see bigger catastrophic consequences".
South Korea's defense minister said Tuesday that North Korea's recent unspecified test at a rocket liftoff site was of a rocket engine, amid speculation the North was making preliminary steps toward a prohibited long-range rocket launch.
At least eight countries on the 15-member UN Security Council had been pushing for a Tuesday meeting on human rights abuses in North Korea, sparking Pyongyang to warn it would consider such a move a "serious provocation" and that it would " respond strongly".
The meeting ended in stalemate, with Trump's aides encouraging him to wait for tangible signs that North Korea is giving up its nuclear arsenal.
"He must understand that his own style bluffing and hypocrisy sound rather abnormal and unrealistic to us", Kim said.
In 2014, after a United Nations commission released a report on widespread rights violations in North Korea, the Americans supported an annual meeting on the council devoted to the subject.
"If you've already tried, essentially, the diplomatic nuclear option with a presidential summit, it would be very hard for North Korea to go back to a working-level process", he said.
"There's a risk of going back to 2017's tensions, or even worse, because there are very few diplomatic off-ramps left", Narang said.