Seoul has hardened its stance against Pyongyang after its torrent of arms tests, the latest on Sunday being a detonation of what North Korea said was a thermonuclear weapon built for missiles capable of reaching the U.S. mainland.
In a separate phone call with Russian President Vladimir Putin also on Monday, Moon said the U.N. Security Council should seek ways to sever North Korea's foreign currency income, including from its workers employed overseas and oil shipments, according to the South Korean statement.
The South Korean president had stressed the need for stronger sanctions against the North, including cutting off its oil supply, in an earlier call with his Russian counterpart.
Its sixth nuclear test on Sunday prompted the USA to speak about a "military response" and South Korea to conduct major military exercises. Its sixth nuclear test on Sunday prompted the United States to speak about a "military response" and South Korea to conduct major military exercises.
"Myself and President Putin share a view that North Korea has gone the wrong way with its nuclear and missile program and that easing tension on the Korean peninsula is an urgent issue", Moon said during the news conference.
Abe also said the December 2015 agreement reached between Japan and South Korea to resolve the "comfort women" issue should be implemented.
The risk of a nuclear confrontation on Russia's doorstep-Vladivostok only lies about 200 miles away from the North Korean missile test site of Punggye-ri-concerns Putin, who has warned about inflammatory rhetoric and supported further dialogue.
Moon and Putin met on the sidelines of an Eastern Economic Forum in the Russian city of Vladivostok, that began on Wednesday.
Rouhani to Participate in OIC Summit, Meet Kazakh Leader
She also thanked the Government of Kazakhstan for the hospitality and good organisation of the Summit and its following meetings.
On the occasion of the Abe-Putin summit, Japan and Russian Federation are set to exchange over 30 agreements in areas including healthcare for the elderly, postal services and cutting-edge technologies, the source said.
Prime Minister Malcolm Turnbull has urged all Australians overseas, but especially those in or heading to China, Japan or South Korea, to register with the government's Smart Traveller website.
"It would be very hard - actually, impossible", Mr Putin told reporters.
An intergovernmental working group will also be set up to promote the activities, with officials from foreign, trade, health and environment ministries taking part from Japan, it said. Thirty-eight people, including six officers, were injured during scuffles between police and demonstrators, a fire department official in Seongju told AP.
Four more interceptor launchers for a U.S. missile defense system entered a southern military base Thursday after clashes between police and protesters that resulted in dozens of injuries.
Amid soaring tensions, the South Korean Defense Ministry said Wednesday it had been given approval to install four remaining launchers for the U.S. anti-missile defense system THAAD (Terminal High Altitude Area Defense).
Local residents have protested the THAAD deployment for fear that their town may turn into a primary target for North Korean attacks.