Ri Yong-ho told the General Assembly that Trump's vow to "totally destroy" his country if necessary had made "our rockets' visit to the entire USA mainland all the more inevitable".
The Times report says some aides are anxious that "the escalating war of words has pushed the impasse with North Korea into a new and risky phase".
Raising concern over the North Korean missile-tests, Chinese Foreign Minister Wang Yi had said that negotiations is the only way to find out the solution and urged the ruling Democratic People's Republic of the Korean Government to not go further in "dangerous direction".
"None other than Trump himself is on a suicide mission", he declared.
China's official Xinhua news agency said the epicenter was roughly at the same place as a similar shallow quake on September 3, which turned out to be caused by North Korea's sixth and largest nuclear test. "Together with China we'll continue to strive for a reasonable approach and not an emotional one like when children in a kindergarten start fighting and no-one can stop them", he said.
The most recent exchange of expletives began when Trump addressed the United Nations General Assembly for the first time on Tuesday.
"That will be the president's decision", Tillerson said.
On Saturday, US Air Force demonstrated its range when B-1B Lancer bomber escorted by fighter jets flew over global borders near North Korea.
It said the operation showed the seriousness with which it took North Korea's "reckless behaviour". White said. "We are prepared to use the full range of military capabilities to defend the USA homeland and our allies". The measure seeks to cut off North Korea's access to funding and deter its nuclear and missile programs.
China's Earthquake Administration said the quake was not a nuclear explosion and had the characteristics of a natural tremor.