Speaking in Japan before attending the opening ceremony of the Winter Games in South Korea, Pence pledged that Washington would "intensify its maximum pressure campaign" on the North, working with Tokyo.
"I'm announcing today that the United States will soon unveil the toughest and most aggressive round of economic sanctions on North Korea ever," he said, without giving further details.
Pence's three-day visit to Japan came as Washington seeks to bolster ties with its allies in the region and maintain pressure on the regime in Pyongyang despite a recent thaw on the peninsula.
To highlight what Washington calls the regime's human rights "abuses", the vice president will attend the opening ceremony of the Pyeongchang Olympics with the father of the late former North Korea prisoner Otto Warmbier.
The US and North Korea have been locked in a fierce war of words.
US President Donald Trump has mocked North Korean leader Kim Jong-Un as "rocket man" and the young dictator has threatened to rain nuclear destruction on the United States.
The two Koreas held a rare high-level meeting last month and the North's ceremonial head of state is due to arrive Friday, the highest-ranking Pyongyang official ever to visit the South.
Nevertheless, the peninsula remains tense, with the North slamming anti-Pyongyang activists who protested against its participation as a "spasm of psychopaths."
For his part, Abe said that Japan and the US had "confirmed... that we can never accept a nuclear-armed North Korea."
En route to Japan, Pence declined to rule out a meeting with the North Korean delegation also attending the opening ceremony, offering the faintest hope of a diplomatic breakthrough.
"I have not requested a meeting, but we'll see what happens," Pence said during a stop in Alaska.
However, he appeared to take a tougher line in Tokyo, saying that North Korea must not be allowed to "hijack the message and imagery of the Olympic Games."
"We will not allow North Korea to hide behind the Olympic banner the reality that they enslave their people and threaten the wider region," he said.
North Korea's official KCNA news agency warned on Tuesday the resumption of the drills will throw the Korean peninsula back to "the grim phase of catastrophe".
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