The North called it a "perfect success" while its neighbours condemned the blast immediately.
Though the precise strength of the blast has yet to be determined, South Korea's weather agency said the artificial earthquake it caused was five to six times stronger than tremors generated by its previous tests. It reportedly shook buildings in China and in Russia.
The test was carried out at 12:29 pm local time at the Punggye-ri site where North Korea has also conducted past nuclear tests. Officials in Seoul put the magnitude at 5.7, while the US Geological Survey said it was a magnitude 6.3.
North Korea's state-run television broadcast a special bulletin Sunday afternoon to announce the test.
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It said leader Kim Jong Un attended a meeting of the ruling party's presidium and signed the go-ahead order.
Earlier in the day, the party's newspaper ran a front- page story showing photos of Kim examining what it said was a nuclear warhead being fitted onto the nose of an intercontinental ballistic missile.
US President Donald Trump said Sunday on Twitter that the North's "words and actions continue to be very hostile and dangerous" to the US.
Today's detonation builds on recent North Korean advances that include test launches in July of two ICBMs that are believed to be capable of reaching the mainland United States.
Pyongyang says its missile development is part of a defensive effort to build a viable nuclear deterrent that can target US cities.
China's foreign ministry said in a statement that the Chinese government has "expressed firm opposition and strong condemnation." It urged North Korea to "stop taking erroneous actions that deteriorate the situation."
National Security Director Chung Eui-yong said Moon will seek every available measure, including new UN sanctions or the deployment of more US military assets, to further isolate Pyongyang.
Officials in Seoul also said US National Security Adviser HR McMaster spoke with Chung for 20 minutes in an emergency phone call about an hour after the detonation.
Japan's Prime Minister Shinzo Abe called the test "absolutely unacceptable."
The nuclear test is the North's first since US President Donald Trump assumed office in January. Trump has been talking tough with the North over its stepped-up missile tests, including a comment that Pyongyang would see fire, fury and power unlike any the world had ever witnessed if it continued even verbal threats.
At the same time, the simple power of the blast was convincing. Japan's Defence Minister Itsunori Onodera said it might have been as powerful as 70 kilotons. North Korea's previous largest was thought to be anywhere from 10 to 30 kilotons.
"We cannot deny it was an H-bomb test," Onodera said. "North Korea might have successfully tested a weapon with significantly large capability."
It said that launch was the "curtain-raiser" for more activity to come.
The photos released earlier today showed Kim talking with his lieutenants as he observed a silver, peanut-shaped device that the state-run media said was a thermonuclear weapon designed to be mounted on the North's "Hwasong-14" ICBM.
Outside experts suggested the yield of the device tested today might be in that ballpark, though closer to the lower range. For context, the bomb dropped on Hiroshima by the United States had a 15-kiloton yield.
North Korea's nuclear and missile programme has made huge strides since Kim rose to power following his father's death in late 2011.
Its recent activity has been especially bold.
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