"North Korea is looking for trouble. If China decides to help, that would be great. If not, we will solve the problem without them!USA," Trump tweeted, toughening his stance on North Korea.
In another tweet, Trump also gave an insight into his talks with his Chinese counterpart Xi Jinping, whom he met last week at his Mar-a-Lago resort in Florida.
"I explained to the President of China that a trade deal with the US will be far better for them if they solve the North Korean problem!" Trump wrote in an earlier tweet.
China is North Korea's sole major ally and economic lifeline.
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The tweet indicated that the meeting might not have been as successful as is being claimed by senior White House officials.
"I think we had an unbelievably helpful and productive meeting with the Chinese," the White House Press Secretary, Sean Spicer had told reporters at his daily news conference yesterday.
Trump's tweets on North Korea came as Pyongyang said it is ready for war with the US.
Sourabh Gupta, a senior fellow at the Institute for China-America Studies in Washington, said that there might be another provocative behaviour from North Korea.
However he said Trump and Xi managed to set a constructive tone to their relationship.
This, he said, will be necessary because the issues that divide China and the US are deep-seated.
"But in no way did the meeting signal a 'G2 approach' to managing regional issues, much less multilateral issues," he said.
"In no way either did Trump signal that he would work over the heads of his allies in Asia to secure favourable outcomes for the US, although there is some consternation in Seoul over the relative paucity of consultation over North Korea policy," Gupta said.