Earlier in the day on Wednesday, Haley told reporters, "It is important that North Korea know we are not trying to pick a fight, so don't try to give us one".
Trump has escalated his rhetoric against North Korea since meeting with Chinese President Xi Jinping.
"While all our options are on the table, President Trump is determined to work closely with Japan, with South Korea, with all our allies in the region, and with China", he said.
The row between Russian Federation and the United States came ahead of a Security Council ministerial meeting next week on North Korea that will be chaired by US Secretary of States Rex Tillerson. The 15-member council has strengthened sanctions following each of North Korea's five nuclear tests.
Pence has met with Japanese Prime Minister Shinzo Abe. Pyongyang says it has developed a missile that can strike the mainland United States, but experts are of the view that it is some time away from mastering the necessary technology, including miniaturising a nuclear warhead. "We are fully prepared to handle it".
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Trump again stressed that he leveraged the USA and China's trade relationship to pressure Xi into doing something about "the menace of North Korea".
On Monday U.S. Vice President Mike Pence put North Korea on notice, warning that recent U.S. strikes in Syria and Afghanistan showed that the Trump administration's resolve should not be tested.
Defiant North Korean leader Kim Jong-Un has chosen to celebrate an important national holiday by sanctioning a video simulation of a missile being fired at a USA city - all set to rousing music.
"Everybody's been outplayed, they've all been outplayed by this gentleman and we'll see what happens", Trump said.
In Moscow, Russian Foreign Minister Sergey Lavrov told reporters he hopes "there will be no unilateral actions like those we saw recently in Syria and that the USA will follow the line that President Trump repeatedly voiced during the election campaign".
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"I have great respect for the president of China", Trump said.
Foreign ministry spokesman Lu Kang said China opposed words or actions that could further raise tension.
"China is unswerving in its commitment to realising the denuclearisation of the Korean peninsula, maintaining the peace and stability of the Korean peninsula, and continue to solve matters through dialogue and negotiations".
The Rodong Sinmun, the official newspaper of the North's ruling Workers' Party, did not mince its words in making Pyongyang's warning to Washington clear, saying North Korea was fully prepared for any USA attack.
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