Vice Defense Minister Suh Choo-suk said in a statement at the defense ministry that South Korea proposed to the DPRK for holding talks of the military authorities on Friday at Tongilgak, a building in the DPRK side of the truce village of Panmunjom.
In that campaign, a group of 30 female peace activists, including Gloria Steinem and two Nobel Peace Prize laureates, visited North Korea and then crossed the Demilitarized Zone, or DMZ, into South Korea, calling for a treaty to formally end the Korean War.
North Korea did not immediately respond.
Moon has suggested hostile military activities be halted at the inter-Korean border on July 27, the anniversary of the 1953 armistice agreement that ended the Korean War.
The South Korean government separately proposed reopening Red Cross talks to discuss ways to resume family reunions.
If the meeting is to take place as planned, it would be the first dialogue between the military authorities of the two sides in nearly three years; their previous meeting was held on October 15, 2014.
But so far the Kim Jong Un government has rejected most of these overtures. North Korea says the South abducted the 12 waitresses and the restaurant manager and has demanded their return, but the South has said the group chose to defect of its own free will.
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South Korea's policy is consistently centered on making the Korean Peninsula free from the threats of nuclear weapons and war, he said. The proposal is set to be the first follow-up measure for the "Berlin Vision" announced by President Moon Jae-in in Germany on July 6 as a step toward achieving a peace regime on the Korean Peninsula.
Seoul's defense minister has requested talks with Pyongyang later this week, and is asking the North to stop all hostile activities in the area.
"We hope that the two Koreas will make efforts to break the stalemate and create conditions for a resumption of negotiations", foreign ministry spokesman Lu Kang was quoted as saying at a press briefing. About 28,500 American troops are stationed in South Korea.
The South's Red Cross proposed holding the talks on August 1 at the Peace House, a Panmunjeom building controlled by the South.
He singled out a group of 12 who fled while working at a North Korean restaurant in China past year, and Kim Ryon-hui, a defector who requested to go back to her homeland in 2015.
North Korea, which has conducted five nuclear tests since 2006, including two since the beginning of 2016, was successful on July 4, his first shot of missile intercontinental. His statement suggested he will order more missile and nuclear tests until North Korea develops a functioning ICBM that can place the entire USA within its striking distance.