An executive order allowing Washington to ramp up fresh sanctions against North Korea has been signed by US President, Donald Trump, with the latest measure banning foreign banks and businesses doing any trade with Pyongyang.
Mr Kim did not specify what action he would take against the United States or Mr Trump, whom he called a "mentally deranged U.S. dotard" in the latest bout of insults the two leaders have traded.
North Korean leader Kim Jong Un watches the launch of a Hwasong-12 missile in this undated photo released by North Korea's Korean Central News Agency (KCNA) on September 16, 2017.
Trump imposing new sanctions on North Korea
Kim said Trump would face "results beyond his expectation", without specifying what action North Korea would take next. Trump came up with his new nickname for Kim during a speech to world leaders at the United Nations General Assembly.
He also said "Rocket Man should have been handled a long time ago" by previous presidents.
South Korea's weather agency said a magnitude 3.0 earthquake was detected in North Korea on Saturday around where the country recently conducted a nuclear test, but it assessed the quake as natural.
In response to the sanctions, Kim Jong Un issued a statement through state-run media saying that Trump's comments remarks "convinced me, rather than frightening or stopping me, that the path I chose is correct and that it is the one I have to follow to the last".
Tensions have risen with North Korea resisting intense global pressure to halt its nuclear and missile programs.
While his rhetoric offered nothing new of substance, Kim did introduce a lot of people to a new word, referring to Trump as a "dotard" multiple times.
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Ri reportedly added that "We have no idea about what actions could be taken as it will be ordered by leader Kim Jong Un".
North Korea has been maintaining a torrid pace in nuclear and weapons tests as it accelerates its pursuit of nuclear weapons that could viably target the United States and its allies in Asia.
"If past tests were used to verify the explosive power of nuclear bombs, it is likely North Korea will test an electronic bomb in the Pacific".
China is North Korea's most important trading partner, and one of its only sources of hard currency.
A day after North Korea's leader called President Donald Trump "deranged" and "a rogue and a gangster", Trump fired back, tweeting Friday morning that Kim Jon Un "is obviously a madman". It claimed that it had detonated a hydrogen bomb for an intercontinental ballistic missile.
Trump hits back at 'madman' Kim with new economic sanctions
North Korea's recent missile launches over Japan especially drew stern rebukes from Tokyo and the global community. All six of North Korea's nuclear tests thus far, dating to 2006, have been conducted in underground tunnels.