A banner showing a photo of North Korean leader Kim Jong-un and South Korean President Moon Jae-in, right, is displayed to wish for peace on the Korean Peninsula, in Seoul, South Korea, Tuesday, Jan. 15, 2019. AP-Yonhap

South Korea will begin to push for a meeting between President Moon Jae-in and North Korean leader Kim Jong-un following the end of the Lunar New Year's Day to help implement the North's denuclearization pledge that will likely be refined in an upcoming U.S.-North Korea summit, observers here noted Monday.

The Moon-Kim summit, if held, will mark the fourth of its kind since the two leaders first met in April 2018 at the border village of Panmunjom inside the heavily fortified Demilitarized Zone. They met again in May and September.

"An inter-Korean summit will naturally be the next step following the second North Korea-U.S. summit," an official from Seoul's presidential office Cheong Wa Dae said, while speaking on condition of anonymity.

U.S. President Donald Trump has said his meeting with Kim will likely be held before the end of this month, while U.S. Secretary of State Mike Pompeo says the second Trump-Kim summit will be held in Asia.

The exact date and venue of the meeting were expected to be announced early this week.

The first Trump-Kim meeting was held in Singapore in June, in which the leaders agreed to fully denuclearize North Korea in exchange for security guarantees for Pyongyang.