"The mentally deranged behavior of the USA president openly expressing on the United Nations arena the unethical will to "totally destroy" a sovereign state. makes even those with normal thinking faculty lose discretion and composure", Kim said.
On Thursday, South Korea's Moon said sanctions were needed to bring Pyongyang to the negotiating table and force it to give up its nuclear weapons.
Pyongyang says it will not give up on its nuclear deterrence unless Washington ends its hostile policy toward the country and dissolves the US-led United Nations command in South Korea.
"I will make the man holding the prerogative of the supreme command in the USA pay dearly for his speech calling for totally destroying" North Korea, Kim said.
But the North Korean leader said remarks by the "deranged" US President convinced him he is right to develop weapons for North Korea.
North Korean Foreign Minister Ri Yong-ho addresses the 72nd United Nations General Assembly at U.N. headquarters in NY, U.S., September 23, 2017.
Trump did not mention North Korea's oil trade. However, when its president Kim Jong-Un decided to make a personal attack on the United States, he pushed his government to another unsafe level.
Trump said North Korea's textiles, fishing, information technology, and manufacturing industries were among those the United States could target.
Professor Petras said, "The situation between the United States and North Korea has reached very risky levels of exchanges, verbal exchanges, economic sanctions, military exercises by the U.S. of the North Korean frontiers".
Kellyanne Conway, counselor to the president, said Trump is "very serious" about holding other countries ― especially China ― accountable over their relationship with North Korea.
"And, we are engaging with North Korea's most important supporters, economic supporters - their friends, China and Russian Federation to have them engage with Kim Jong Un on this issue", Tillerson said.
"I am now thinking hard about what response he could have expected when he allowed such eccentric words to trip off his tongue", Kim said.
Overnight, seismic activity was detected near the area where North Korea conducted its most recent nuclear test, and China's state news agency said it was because of an explosion.
President Trump has indicated that his mission is the "complete denuclearization" of North Korea, which has repeatedly been conducting nuclear program-linked missile tests, banned by the USA and the United Nations.