Before Mr. Trump softens any trade deals with China, Townsend said the administration needs to see "definite signs" that China is working to mount pressure on the North.
"If China is not going to solve North Korea, we will", Trump said in an interview ahead of the meeting.
"But the era of strategic patience is over", Pence declared. Lavrov added that he hopes the United States will not take any unilateral action against Pyongyang. The US also dropped the "Mother of All Bombs" - said to be the most powerful non-nuclear bomb - on Afghanistan, ostensibly to target Islamic State terrorists.
In Moscow, Russian Foreign Minister Sergey Lavrov, speaking to reporters Monday evening, said 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".
China made a plea for a return to negotiations.
Abe also called for a peaceful resolution to escalating tensions surrounding the DPRK.
North Korean leader Kim Jong Un celebrated his grandfather's birthday on Sunday with a rousing concert that also featured a video simulation of a nuclear missile attack destroying what appears to be an unidentified American city.
Mr Pence met Japanese Deputy Prime Minister Taro Aso in Tokyo to launch the US-Japan economic dialogue, saying that President Donald Trump prefers to negotiate economic deals on a bilateral basis. "But dialogue for the sake of having dialogue is meaningless". "And the question is, can we bring them to a point where they'll use it?" said Fran Townsend, CBS News senior national security analyst and former homeland security adviser to President George W. Bush.
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"While all options are on the table", Pence said, "President Trump is determined to work closely with Japan, with South Korea, with all our allies in the region, and with China" to resolve the problem.
U.S. Vice President Mike Pence has arrived in Japan for the second stop of a 10-day Asia tour.
A Japanese official says a difference in approach remains with the US despite an agreement on a framework for new bilateral economic talks. -South Korean military camp, which is just outside the 2.5-mile (4.02-kilometer)-wide DMZ.
Pence said the US trade deficit has more than doubled in the five years since the US-South Korea free trade agreement began and there are too many barriers for US businesses in the country.
This missile launch comes at a bad time as tension on the Korean Peninsula has consistently been rising. Continued reckless behavior by Pyongyang could force China and the U.S.to impose further sanctions, the editorial noted, such as by halting petroleum supplies or an American freeze on financial activities.
"The details related to the Chinese government's orders on a travel ban to North Korea can not be determined for now", said one government official.
The frontrunner to replace ousted President Park Geun Hye in a snap presidential election to be held May 9, progressive politician Moon Jae In, has promised to review the previous Government's decision to host the United States anti-missile system Thaad (Terminal High Altitude Area Defence).