Before the U.N. Trump mocked Kim's obsession with building up North Korea's missile program, referring to him as Rocket man, a nickname that was also applied to his father.
In an address to the United Nations General Assembly, Ri Yong-ho said North Korea will take "merciless preventive action" if the us shows any sign of "decapitating operation on our headquarters or military attack against our country".
In an executive order issued Thursday, the Treasury Department has been granted expanded latitude to target anyone trading with North Korea, barring them from using the USA banking system.
Kim said that Trump is "a rogue and a gangster fond of playing with fire", who is "unfit to hold the prerogative of supreme command of a country".
"None other than Trump himself is on a suicide mission", Ri said in a speech at the UN General Assembly.
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Japan's defense minister Itsunori Onodera said the country must ready itself for the sudden escalation in tensions and be prepared for a missile launch.
"This is the farthest north of the Demilitarized Zone (DMZ) any USA fighter or bomber aircraft have flown off North Korea's coast in the 21st century, underscoring the seriousness with which we take the DPRK's reckless behavior", Pentagon spokesman Dana White said in a statement.
"Whether or not we can put an end to the provocations by North Korea is dependent upon the solidarity of the worldwide community".
Lt. Col. Ralph Peters on Friday said if North Korea tested a nuclear bomb in the Pacific Ocean it would be the closest the Hermit Kingdom has come to committing an act of war.
Image caption Dotard has been going up in internet searches since Kim Jong-un used it to describe Trump.
He also said "Rocket Man should have been handled a long time ago" by previous presidents.
Trump said Thursday he will ramp up economic pressure on North Korea by signing an executive order that cracks down on anyone who does business with the hermit nation.