These include, said Moon, Kim declaring in April a "new strategic line" favoring economic growth; his pledge to the global community of a "complete denuclearization of the Korean Peninsula" in inter-Korean summits and the first North Korea-U.S. summit in June; and the demolishing of the Punggye-ri nuclear test site and Tongchang-ri missile engine test site.
The Koreas also said they will make a push to co-host the 2032 Summer Olympics.
"Declaring an end to the Korea war would be a start to establishing a regime of peace", he said, also calling for the United States to take "reliable corresponding measures to guarantee the security of the regime".
Senior military officials from both sides also will meet as soon as possible to discuss ways to remove threats of war and end hostility towards lasting peace on the Korean peninsula, it said.
The talks were led by the South's Unification Minister Cho Myoung-gyon and Ri Son Gwon, chairman of the North's committee for peaceful reunification that handles cross-border affairs.
The reclusive communist state has no official diplomatic relations with France, one of only two European Union countries along with Estonia to cut ties with North Korea until it abandons its nuclear weapons program and improves its human rights record.
Monday's meeting was meant to discuss follow-up steps after a third summit last month between South Korean President Moon Jae-in and North Korean leader Kim Jong-un, the South's unification ministry said. Foreign Minister Kang Kyung-wha invited U.S. President Donald Trump's displeasure when she suggested that South Korea could ease some of its own unilateral sanctions against the North.
The military agreement between the Koreas also calls for the creation of buffer zones along their land and sea boundaries, a no-fly zone above the border and the removal of 11 front-line guard posts by December.
Cho says the ministry will work harder in the future to assure that North Korea-born defectors can report on North Korea issues without restrictions.
"I'm devastated", Kim Myong-sung of the Chosun Ilbo, a conservative South Korean newspaper, told Reuters, adding that he had been told of the decision just before he was due to depart for the DMZ.
Unification Ministry spokesman Baik Tae-hyun earlier said North Korea did not demand that Kim be excluded from covering the meeting. The South Korean press corps covering the ministry issued a statement denouncing it for a "grave infringement of media freedoms".
North and South Korea have made a decision to inaugurate in late November or early December work on reconnecting railway and roads between the two countries.
Originally built by Japan, the Gyeongui line between Seoul and Sinuiju was separated at the end of World War II in 1945, when the Korean Peninsula was liberated from Japanese colonial rule and divided between a USA -controlled southern side and a Soviet-controlled north.