"We agreed to strongly demand that North Korea, which is repeating its provocation, show restraint", Mr Abe told reporters.
North Korea is the only country to have tested nuclear weapons in the 21st century, and such a step would be seen as a major provocation to U.S. forces in the area and South Koreans, who have placed their military on high alert.
The United States ordered the USS Carl Vinson carrier strike group to sail to waters off the Korean peninsula in response to mounting concern over the North's nuclear and missile tests, and its threats to attack the United States and its Asian allies.
North Korea has conducted five nuclear tests, two of them past year, and is working to develop nuclear-tipped missiles that can reach the United States.
Reclusive North Korea regularly threatens to destroy Japan, South Korea and the United States.
The aircraft carrier is being escorted by American warships - they're expected to arrive in the region within days.
The issue has gained added urgency as North Korea prepares to celebrate the 85th anniversary of the founding of its Korean People's Army today.
Air China, the only Chinese airline that provides regular flights to North Korea, announced on Tuesday that it will resume flights between Beijing and Pyongyang from May 5.
Rangers' Andy Halliday's horror tackle on Celtic's Patrick Roberts
But Hill has tremendous experience and also got the equaliser against Celtic in that 1-1 draw on March 12. And if you are blocked, even if you have the best ideas in the world, you can not perform.
USA and South Korean officials have been saying for weeks the North could soon stage another nuclear test, something the United States, China and others have warned against.
It has also carried out a series of ballistic missile tests in defiance of United Nations sanctions.
Angered by the approach of the USS Carl Vinson carrier group, a defiant North Korea said yesterday that the deployment was "an extremely risky act by those who plan a nuclear war to invade".
The service, that was started in 2009, will resume three weeks after the airline had stopped its twice-weekly flights between the two capitals on April 14, at a time of escalating tensions between North Korea and the US, Efe news reported.
The USS Carl Vinson's strike group is now in the Philippine Sea, where it's taking part in joint exercises with Japan's Maritime Self-Defense Force, including two Japanese destroyers.
The Japanese force did not specify where the exercises were taking place, but the destroyers by Sunday could have reached an area 2,500 km (1,500 miles) south of Japan, which would be east of the Philippines.
The USS Carl Vinson is sailing north via the Philippine Sea after completing regular exercises in the South China Sea, the Tsunda Strait, and the Celebes Sea.
Tuesday is Army Day in North Korea and USA intelligence is expecting some kind of "firepower display".
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