South Korean President Moon Jae-in and his U.S. counterpart Donald Trump / Yonhap

By Jung Min-ho

South Korean President Moon Jae-in said the Nobel Peace Prize should go to U.S. President Donald Trump, if anyone were to win it for their efforts to resolve the issues with North Korea, noting that "all we need is peace."

His comment came after he received a congratulatory message from Lee Hee-ho, the widow of late South Korean President Kim Dae-jung, Monday, after the historic summit with North Korean leader Kim Jong-un three days ago.

In the message, she said, "You've done great work. You deserve to receive the Nobel Peace Prize."

After reading her note, Moon told his aides that the honor should go to Trump, not him, and added, "All we need is to bring peace (to the Korean Peninsula)," according to a Cheong Wa Dae official.

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The summit was filled with warm encounters, and the two leaders issued a joint declaration to call for a formal end to the Korean War and work together to make Korea "nuclear free."

Lee's husband organized the first inter-Korean summit in 2000 and later received the Nobel Peace Prize for the effort. In 2011, she traveled to Pyongyang in 2011 for the funeral of Kim Jong-il, the father of Kim Jong-un.