The Hermit state talked tough in its latest statement released by state-run newspaper Minju.
A spokesman said: “Although the South Korean puppet authorities try to frighten the DPRK by resorting to more frantic anti-DPRK pressure campaign with the backing of the US, the army and the people of the DPRK will never be afraid of it.
“They would be well advised to behave themselves, clearly mindful that they cannot escape the most miserable end together with the US, which is at the door of doom.”
North Korea’s threat comes as the US ramps up its military presence in the Korean peninsula.
Mr Trump upset Kim after he sent two warships to the region this week in a direct show of force to the leader.
The US military and South Korea also conducted a joint military drill last week, further angering the North.
US officials added that they are finalising plans to send stealth fighter jets towards the country in November.
American jets have carried out repeated flights by US strategic bombers over the Korean Peninsula of late, in a sign that Washington is readying for what many feel is unthinkable – war.
In another show of force to Pyongyang, US B-1B bombers have flown over South Korea with fighter jet escorts from the allied nation.
And Mr Trump refuses to back down from his fiery rhetoric.
He added yesterday: “We’re so prepared like you wouldn’t believe. You would be shocked to see how totally prepared we are if we need to be.”
In an added show of military might, a US warship shot down a missile yesterday out of the sky using a weapon with the force of a “10-ton truck going at 600mph”, The Daily Star reports.
The vessel was located off the UK coast along with the USS Winston S. Churchill and the USS Mitscher.
It came as part of the massive Royal Navy-led war drills dubbed Exercise Joint Warrior.
After a flurry of missile launches by the North and its sixth nuclear test last month, the UN imposed fresh sanctions that included bans or restrictions on the export of coal, iron ore and seafood by Pyongyang.
But, despite condemnation, Kim said he will continue with missile tests.
US Defence Secretary James Mattis and his counterparts from South Korea and Japan vowed to step up diplomatic pressure on the North, saying its weapons programmes posed “an unprecedented and grave threat” to the region.
Japan has also warned that an attack by North Korea could be imminent.
The rogue state’s neighbour added that something must be done to prevent World War 3.
Japan’s Defence Minister, Itsunori Onodera, said: “The threat posed by North Korea has grown to the unprecedented, critical and imminent level.
“Therefore, we have to take calibrated and different responses to meet with that level of threat.”
Rob Givens, a former US Air Force brigadier general who served as deputy assistant chief of staff for operations of US Forces Korea said: “If we made a decision to strike a few strategic targets in North Korea it could happen very quickly.”