Hours later, Kim's foreign minister told reporters in NY that Pyongyang could launch a nuclear missile test in response.
A senior USA diplomat says a North Korean hydrogen bomb test in the Pacific would be an "unprecedented act of aggression" by the communist nation.
If North Korea follows through on its latest threat of setting off a nuclear explosion over the Pacific Ocean, it will ultimately be up to President Trump whether the United States will respond with military action, Secretary of State Rex Tillerson told ABC News on Friday.
President Trump ripped past US administrations' handling of North Korea on Friday, escalating his verbal feud with the country's leader Kim Jong Un by continuing to call him "Rocket Man" and "Little Rocket Man".
Trump's latest volley comes a day after Kim unleashed a stream of invective in a statement carried by the state news agency in which he threatened that the U.S. president would "pay dearly" for his threats.
In response to statements by trump North Korea threatens a hydrogen bomb. Sure, I've had my problems with President Trump, such as everything he has said and done, but I'm not going to stand here as an American and let somebody from another country talk smack our president!
Things really picked up from July onwards as North Korea got verbal too.
"North Korea's nuclear programme is a grave threat to peace and security in our world, and it is unacceptable that others financially support this criminal, rogue regime", Trump said in a press briefing with the leaders of South Korea and Japan.
"The mentally deranged behavior of the US president openly expressing on the United Nations arena the unethical will to "totally destroy" a sovereign state, beyond the boundary of threats of regime change or overturn of social system, makes even those with normal thinking faculty think about discretion and composure", Kim said in a statement circulated on state news agency KCNA.
Kim drew a critical comparison between Trump and his predecessors in the White House, calling him unfit to hold the position of commander in chief. These words yesterday, however, carry the weight of an unprecedented personal rebuke from North Korea's supreme leader, Kim Jong Un.
Last month, when the standoff between North Korea and the USA over Pyongyang's ballistic missile and nuclear weapons programs reached its peak, Trump threatened Kim with "fire and fury the world has never seen". As per the new penalties', the nations will have to choose whether to do business with the United States or North Korea.
Ministry spokesman Baik Tae-hyun says North Korea should stop provocations that would "lead to its own isolation and demise".
"It could be the most powerful detonation of an H-bomb in the Pacific", Ri said.