Trump had recently ordered fresh sanctions over Pyongyang's weapons programmes and even praised China for taking an action to limit financial transactions with North Korea.
As per the new penalties', the nations will have to choose whether to do business with the United States or North Korea.
"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.
He added that United States continues to seek a "complete denuclearisation of North Korea."
He further said, "It is time for North Korea to realise that de-nuclearisation is its only acceptable future."
Trump asserted that North Korea's reckless pursuit of nuclear weapons threatens entire world with immense loss of human life.
"There is a saying that goes: Even when dogs bark, the parade goes on. If (Trump) intended to scare us with the sound of a dog barking then he is clearly dreaming," said Ri at the United Nations Headquarters in New York.
The United Nations Security Council had also condemned the recent launch of another ballistic missile by the Democratic People's Republic of Korea (DPRK) and called on the country's leadership to halt such activities and explore resumption of sincere dialogue on de-nuclearisation.
UN Secretary-General Antonio Guterres called on the DPRK leadership "to cease further testing, comply with the relevant Security Council resolutions, and allow space to explore the resumption of sincere dialogue on de-nuclearisation."
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'.