"If China is not going to solve North Korea, we will", Trump said in an interview ahead of the meeting.
The vice president reassured South Korea that the United States has its back in the face of mounting threats from North Korean dictator Kim Jong-Un.
The North has warned of a nuclear strike against the United States if provoked. Pyongyang has said multiple times in the last quarter-century that it no longer recognizes the cease-fire.
While inspecting the Demilitarized Zone between North and South Korea, Pence warned Pyongyang that after years of testing the US and South Korea with its nuclear ambitions, "the era of strategic patience is over".
In Washington, President Donald Trump told CNN at the annual White House Easter Egg Roll that North Korea has "gotta behave".
Before the free trade agreement between the two countries took effect in 2012, South Korea's trade surplus against the United States stood at $11.6 billion at end-2011.
"The loss of US participation in the Trans-Pacific Partnership was a blow to Japan following strenuous negotiations, especially over opening its long-protected farm sector to more imports, especially of dairy and meat products".
"North Korea would do well not to test his resolve or the strength of the armed forces of the United States in this region", Pence said.
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Paul says the worst-case scenario involving North Korea would be an attack on its southern neighbor, a major US ally.
U.S. Vice President Mike Pence is on board an American aircraft carrier stationed in Japan amid heightened tension on the Korean Peninsula.
Pence on Monday had traveled to the tense zone dividing the two Koreas, where he warned North Korea's leaders that after years of testing the US and South Korea with its nuclear ambitions, "the era of strategic patience is over".
Then, less than a week later, the U.S. military dropped a 10,300kg bomb - the largest non-nuclear bomb ever used in combat by the USA - on Isis (Islamic State) forces in eastern Afghanistan. The press has started to release opinion pieces suggesting that Beijing take hard-line action should Pyongyang conduct a sixth nuclear test. Trump tweeted on Sunday.
China is showing signs of cooperation toward a firmer stance against North Korea, such as by halting regular flights between the two countries' capitals.
"Under President Trump's leadership, the United States seeks stronger and more balanced bilateral trade relationships with every country, including Japan", Pence said in Tokyo after opening an economic dialogue with his Japanese counterpart, Taro Aso.
"In the case of our super-mighty preemptive strike being launched, it will completely and immediately wipe out not only USA imperialists' invasion forces in South Korea and its surrounding areas but the US mainland and reduce them to ashes".
"I still see this as escalatory and playing with potential fire", Ken Gause, director of the international-affairs group at the think-tank CNA, said.