The North Korean leader has held off on plans to launch missiles into the sea surrounding the US Pacific territory of Guam.
In response, Donald Trump dialled down his rhetoric tweeting: “Kim Jong Un of North Korea made a very wise and well reasoned decision.
“The alternative would have been both catastrophic and unacceptable!”
But there are fears that North Korea could change its mind if the situation flares up when the US and South Korean troops carry out military exercises next week.
Mr Trump’s ‘fire and fury’ threat last week came after reports North Korea has now developed nuclear intercontinental ballistic missiles.
North Korea’s military has successfully created a miniaturized nuclear warhead small enough to fit inside its ballistic missiles, according to US intelligence.
Where would North Korea strike the US?
North Korea has made it clear that its first target would be the US Pacific territory of Guam, which is well within range of North Korean missiles.
Only about 2,100 miles from Korea, the tropical island is home to a US military base that hosts a submarine squadron, an American airbase and a Coast Guard group.
After North Korea threatened Guam, the pacific island of Hawaii began making preparations for a possible attack by Kim Jong-un’s regime.
At the end of last month, North Korea launched a missile which experts believe was capable of striking Los Angeles, Chicago and potentially even New York.
“It now appears that a significant portion of the continental United States is within range” of North Korean missiles, Bruce Klingner, a former Korea analyst for the CIA told AP.
The latest missile test at the end of July came after North Korea tested another continental missile, capable of reaching Alaska, just weeks before.
North Korea is closest to the West Coast of America, which stretches from California through Oregon to Washington state.
Los Angeles is the second biggest city in the US, while San Francisco and San Diego are two of the other big cities in California.
Seattle is located in Washington and Portland is in Oregon. It is not known where North Korea might try to strike the US.