Pence reiterated that after years of North Korea testing the USA and its neighbors in East Asia with its nuclear ambitions, the US "era of strategic patience is over".
Earlier on Tuesday North Korea accused the United States of bringing the Korean Peninsula into "a unsafe situation in which a thermonuclear war may break out at any moment". He will aim to reassure allies in South Korea and Japan that the USA will take appropriate steps to defend them against North Korean aggression. Kim Jong Un has made threats to the USA before.
A militarily strong South Korea and Japan could do what they should have been doing since the end of World War II and the Korean Wars, respectively - provide for their own defense.
America's implied threat of force isn't new, nor is hope for engagement.
North Korea's deputy United Nations ambassador, Kim In-ryong, described US-South Korean military exercises as the largest ever "aggressive war drill" and said his country was "ready to react to any mode of war desired by the US".
But the Trump administration has made it clear this policy is now over, and has not ruled out military action. But then he ordered the unilateral missile strike against Syria, even after dismissing talk of deeper USA involvement in that nation's civil war.
Suga, the Japanese government spokesman, said Japan hopes to discuss policies on North Korea with Pence and to convey a growing sense of urgency over its missile tests and other actions.
He also said the era of over-regulation "is over" and Trump aims to bring in a new era of jobs and growth.
The White House did not offer a sense of when Trump's patience might run out. Trump said. "We'll see what he can do".
In addition to approving a missile airstrike on a Syrian air base April 7 and dropping the largest non-nuclear bomb on Afghanistan on April 13, Trump sent a fleet of navy ships toward the Korean Peninsula April 8, complete with an aircraft carrier, two destroyers and a cruiser. "We'll be conducting more missile tests on a weekly, monthly and yearly basis", he said.
At the outset of his meeting with Abe, Pence said that "While all options are on the table", Trump was determined to work with Japan, South Korea and other allies in the region to resolve the problem.
He has sent a navy strike group towards the Korean Peninsula, and the US and South Korea are moving ahead with the early deployment of a controversial missile defence system.
He said the country should have been dealt with by President Obama and "previous presidents all the way back to Clinton". But it remains unclear what might come next.
In Moscow, Russian Foreign Minister Sergey Lavrov told reporters he hopes 'there will be no unilateral actions like those we saw recently in Syria and that the USA will follow the line that President Trump repeatedly voiced during the election campaign'.
Spicer noted that China has stopped importing North Korean coal and has signaled further economic actions after Trump met with Chinese President Xi Jinping.
Abe said: 'It goes without saying that it is a matter of paramount importance for us to seek diplomatic efforts as well peaceable settlements of the issue'.
"Under Kim Jong Il [the current leader's father], North Korea did conduct these provocations, to squeeze out more economic aid or things like that", Denmark said.
South Korea's Yonhap News Agency first reported that the USS Ronald Reagan, currently in Yokosuka, Japan, and the USS Nimitz, now under assessment in OR, will leave for the Sea of Japan next week.