"We will never allow North Korean nukes".
Park Wan-ju, head spokesman of the ruling Democratic Party, said: "Chung's report also said there are worries over military conflict being sparked by accidental incidents".
Increasingly harsh exchanges between North Korea and the USA have unnerved foreign investors in recent weeks, with both South Korea's central bank and the finance ministry warning that further provocations could lead to sudden capital outflows.
Park said President Moon told the meeting that Washington and Seoul agreed that pressure needed to be applied to North Korea, with the door to talks still open.
The meeting follows Mr Moon's discussion with US President Donald Trump and Japan Prime Minister Shinzo Abe in NY last week, at which they pledged to maximise pressure on North Korea, which has advanced its nuclear and missile development.
We will remind, foreign Minister of the DPRK ri Yong Ho said that the US President, Donald trump declared war on Pyongyang, and warned that North Korea reserves the right to shoot down American bombers in worldwide airspace.
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Taiwan has banned all trade activities with North Korea to comply with a United Nations resolution after Pyongyang's sixth and most powerful nuclear test earlier this month.
The president said he had personally been against the deployment of US Terminal High Altitude Area Defense (THAAD) system in South Korea, but the decision was made as North Korea's missile capabilities were quickly improving.
The senator said he saw the importance of the US and its allies being unified against the regime.
Special Presidential Advisor and Yonsei University Professor Moon Chung-in speaks at a lecture marking the 10th anniversary of the October 4 inter-Korean summit statement at the 63 Building in Seoul on September 26.
Malaysia banned citizens from traveling to North Korea, citing the escalating tension on the Korean peninsula.
"South Korea's external financial soundness has improved to a large extent after overcoming the previous crises in 1997 and 2008", said Hwang.