"At the talks, there was an in-depth exchange of opinions on various issues arising in further accelerating the development of the north-south relations by honestly implementing the Panmunjom declaration in an all-round manner," the Korean Central News Agency said in English.

"The Supreme Leader and the south Korean president highly appreciated the present state of the north-south relations positively developing on good terms after the two meetings and talks held successfully this year, and had a frank and candid conversation over important matters of mutual concern," it added.

The Moon-Kim summit marks the third of its kind, following one in April and another in May, both of them held in the truce village of Panmunjom.

The two adopted the Panmunjom Declaration after the April summit in which they agreed to work toward the complete denuclearization of the Korean Peninsula, stop hostile acts against each other and foster cross-border exchanges.

Moon's trip to the North this week comes amid Pyongyang's stalled denuclearization talks with Washington, apparently caused by their different views on how and at what speed the North should give up its nuclear weapons program.

Moon placed emphasis on finding a way to break the impasse in the denuclearization process.

"(My) North Korea trip would have a great meaning if it could lead to the resumption of North Korea-US dialogue," Moon was quoted as telling his aides before heading to Pyongyang on Tuesday. (Yonhap)