President Moon Jae-in speaks during the 76th session of the United Nations General Assembly, Sept. 21 (local time), at U.N. headquarters in New York City. AP-Yonhap

South Korean President Moon Jae-in suggested once again in his United Nations speech Tuesday that the two Koreas and the United States, probably joined by China, declare a formal end to the 1950-53 Korean War.

"I propose that three parties of the two Koreas and the U.S., or four parties of the two Koreas, the U.S. and China come together and declare that the War on the Korean Peninsula is over," he said, addressing the 76th session of the U.N. General Assembly here.

"When the parties involved in the Korean War stand together and proclaim an end to the War, I believe we can make irreversible progress in denuclearization and usher in an era of complete peace."

Declaring an end to the war will "mark a pivotal point of departure in creating a new order of 'reconciliation and cooperation' on the Korean Peninsula," he added.

It marked his last speech at the annual U.N. session, with his single five-year tenure slated to finish in early May 2022.

His proposal for such a declaration was not new. He made the offer during his U.N. General Assembly speech in 2018 and last year.

But this year's offer was delivered in a stronger tone and more specifically.

He asked the world to explore ways for cooperation.