"Kim Jong Un should take heed the United Nations' Security Council's unified voice".
However, the Chinese spokesman said military force should not be an option.
But other world leaders talked up diplomatic options on Sunday.
Experts estimated that the blast - the North's sixth - was four to 16 times more powerful than any it had set off before, with far more destructive power than the bombs dropped on the Japanese cities of Hiroshima and Nagasaki during World War II.
North Korea relies on China for approximately 90 percent of its foreign trade, and US-China trade was estimated to be worth about $650 billion a year ago. Despite our efforts the North Korea nuclear program is more advanced and more unsafe than ever. The underground nuclear test of what Pyongyang claimed was a hydrogen bomb that could be mounted on an intercontinental ballistic missile (ICBM) triggered a sizable natural disaster.
President Trump even warned the United States was considering stopping trade with any nation doing business with North Korea, in an attempt to further pressure the defiant country.
If North Korea hasn't already developed a hydrogen bomb then it is likely it will, before long, unless dramatically stopped.
This latest test - which neither NORSAR nor the United States Geological Survey has confirmed as being an actual detonation of a nuclear bomb - would represent a massive step forward in North Korea's nuclear weapons program.
There was no immediate confirmation outside North Korea that the test involved a hydrogen bomb, or that it was small enough to be loaded onto a missile.
Seismological data from the United States Geological Survey showed that an explosion caused a 6.3-magnitude tremor in the northeastern section of North Korea, close to its Punggey-ri nuclear test site.
The move is a show of defiance against Washington and the worldwide community. North Korea has made similar, unsubstantiated claims after some of its previous tests.
Trump tweeted that North Korea is a "great threat and embarrassment to China, which is trying to help but with little success".
Washington is becoming increasingly frustrated with Beijing's approach to North Korea, with some officials advocating that China imposes an oil embargo on the rogue state.
"The Trump Administration could announce that it is prepared to intercept future North Korean missile tests, when feasible", Bennett said.
North Korea's traditional ally China also denounced the test, slamming Pyongyang for ignoring worldwide condemnation of its atomic weapons program.
But he vowed to meet any threat to America with "a massive military response" and said there were "many options" on the table. "We will not give up our goal of working together with allies to seek a peaceful denuclearization of the Korean Peninsula".
She expects members of congress to receive another briefing on the Korea situation as soon as this week.