In a tweet, Trump delivered another insulting barb against North Korean leader Kim Jong Un, who he called "Little Rocket Man" and a "sick puppy" after North Korea test-fired its most advanced missile to date on Wednesday.
Since taking office in June, Kang traveled to South Korea's most important neighbors - the United States, Russia and China - except for Japan. However, the leader was seen celebrating the launch on Wednesday, after it was accomplished, with the Korean Central News Agency (KCNA) publishing photos with a smiling Kim Jong-un inspecting missile equipment.
Russia's Foreign Minister Sergei Lavrov said sanctions were exhausted.
"That would be a pivotal step in the world's effort to stop this global pariah", she said, warning that if Beijing does not act, "we can take the oil situation into our own hands".
Trump's tweets further inflamed tensions reignited this week after North Korea said it had successfully tested a new intercontinental ballistic missile in a "breakthrough" that put the USA mainland within range of its nuclear weapons whose warheads could withstand re-entry to the Earth's atmosphere.
Haley said Trump had called Chinese President Xi Jinping and urged him to "cut off the oil from North Korea", a move that would deal a crippling blow to North Korea's economy.
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Although the country still relies on fossil fuels for two-thirds of its electricity, wind energy is a large contributor in South Australia.
U.S. sanctions against North Korea were bolstered last week after the Trump administration declared North Korea a state sponsor of terrorism.
"We know they were building to this".
Ms Haley, speaking at an emergency meeting of the United Nations Security Council, also said that if war comes as a result of further acts of "aggression", such as Tuesday's launch, "make no mistake the North Korean regime will be utterly destroyed".
A White House statement said Trump and Moon reiterated their strong commitment to enhancing the deterrence and defense capabilities of the U.S.
North Korea tested a new ICBM, which Pyongyang claims is capable of reaching any target in the continental United States. The United States, which has 28,500 troops in South Korea as a legacy of the 1950-53 Korean War, denies any such intention.
The US has repeatedly said that it will not accept North Korea as a nuclear power and that it will consider military intervention to stop it.
Russian Foreign Minister Sergey Lavrov said on Friday that a U.S. threat to destroy North Korea in the event of a war was "a bloodthirsty tirade" and military action against Pyongyang would be a big mistake.