They came hours after state media in Pyongyang warned that a pre-emptive strike by North Korea would result in the US and South Korea being "completely destroyed in an instant".
On Wednesday, Chinese Foreign Ministry spokesman Lu Kang said Beijing was "gravely concerned" about North Korea's recent nuclear and missile activities and even went so far as to praise the Trump administration.
It would also demand an immediate end to the North's nuclear and missile tests, threaten to take "further significant measures" - United Nations code for new sanctions - and state that North Korea's illegal activities "are greatly increasing tension in the region and beyond".
"I think unpredictability may have some potential benefits in dealing with North Korea, but there are also risks", said Scott Snyder, a senior fellow for Korea studies and director of the U.S. -Korea policy program at the Council on Foreign Relations.
The U.S. also has redeployed the USS Carl Vinson strike group to the Korean peninsula amid fears that Pyongyang may still conduct another nuclear test.
On Sunday, North Korea attempted to launch another missile, but failed, according to the data of the U.S. air forces - the missile exploded nearly rights after the launch.
Mr Trump's warning came just hours after Vice President Mike Pence made an unscheduled stop during his Asia tour to visit the Demilitarised Zone (DMZ) between North and South Korea.
'But at the same time, ' the prime minister said, 'dialogue for the sake of dialogue is valueless and it is necessary for us to exercise pressure North Korea so that it comes forward and engages in this serious dialogue'.
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His national security adviser, H.R. McMaster, said the USA would rely on its allies as well as Chinese leadership to resolve the issues with North Korea.
The North has warned of a nuclear strike against the United States if provoked.
If we can't count on China to help resolve the stalemate with North Korea, what can USA leaders do?
He said what leader Kim Jong-un is doing is really a way to get the United States to back down, knowing past administrations have been so averse to another conflict on the peninsula after the Korean War in the 1950s.
The report, carried by Reuters, also warned the USA and its allies "should not mess with us".
"That didn't work because the Chinese took that position and let the North Koreans have time to develop nukes and missiles", he said.
His comments come amid differing reports about the trajectory of a U.S. strike group in the region.
Diplomats said the US -drafted statement would strongly condemn the launch and express the council's "utmost concern" at North Korea's "highly destabilizing behavior and flagrant and provocative defiance" of council resolutions.
The vice president said the US would honor its alliance with Pacific Rim nations and protect freedom of navigation in the South China Sea, the sea lanes vital to global shipping where China has been staking claim to disputed territory.