"This could probably mean the strongest hydrogen bomb test over the Pacific Ocean".
In his United Nations speech, Abe said North Korean nuclear weapons either already were, or were on the verge of becoming, hydrogen bombs, presenting an unprecedented threat.
The administration said in a statement on its website that the quake, which occurred around 0830 GMT, was recorded a depth of zero kilometres.
South Korea said it was the first direct statement of its kind by a North Korean leader.
For reference, the USA agency recorded a 6.3 magnitude quake after North Korea's hydrogen bomb test on September 3, its sixth of a nuclear weapon. He added that they were still analysing the tremors, but they were "unlikely man-made".
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President Trump said the measures would "cut off sources of revenue that fund North Korea's efforts to develop the deadliest weapons known to humankind".
An official of South Korea's Meteorological Agency said acoustic waves should be detected in the event of a man-made quake. "In case innocent lives of the U.S. are harmed because of this suicide attack, Trump will be held totally responsible". "So as of now, we are categorising this as a natural quake". If you look at it from Kim's point of view, nuclear capability is needed for his and North Korea's survival.
According to its website, the first quake - with a 2.6 magnitude occurred at 12:43 a.m. ET. Other possible causes include landslides or the collapsing of test structures such as tunnels, said Hong Tae-kyung, a professor at the department of Earth System Sciences at Yonsei University.
Media captionWas your T-shirt made in North Korea?
Numerous scientific agencies on both sides of the Pacific detected an quake Saturday near the site where North Korea set off a hydrogen bomb earlier this month, at first prompting speculation of another weapons test, before a consensus appeared to emerge that the tremor was a natural occurrence.
CTBTO said Executive Secretary Lassina Zerbo said in a Twitter post that the group detected two seismic events on Saturday.
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The president assured those in attendance, without details, that he would defend the US against any offensives launched by North Korea: "I can tell you one thing, you are protected, OK?"
"The depth is poorly constrained and has been held to 5 km by the seismologist", USGS said.
There was no immediate reaction from China's Foreign Ministry. Japan has been subject to two North Korean missile test flyovers in recent weeks.
North Korean leader Kim Jong Un called Donald Trump "deranged" and said in a statement carried by the state news agency that he will "pay dearly" for his threats.
Earlier on Tuesday, as per AFP report, Kim lashed out after Trump stunned the world when he used his maiden UN General Assembly speech to warn North Korea that Washington would "totally destroy" it if the United States or its allies were attacked.
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