The potential implications of millions of Koreans cheering together for their unified team could be huge - a prospect that could further advance Mr. Moon's policy of promoting dialogue and exchanges with the North.
This led to the ITF Demonstration Team performing at the 2015 World Taekwondo Championships in Russian city Chelyabinsk.
The World Taekwondo Federation has gone by that name since its founding in 1973. North Korea has never sent its taekwondo athletes to Olympics.
Taekwondo is a global martial art that has its roots in Korea.
He said the two taekwondo federations' cooperation should inspire the two Koreas to work for a joint Olympic team. The federation was recognized by the International Olympic Committee as the official governing body for taekwondo after the 1988 Seoul Olympic Games and became an official medal sport in the 2000 Olympics in Sydney.
Moon, who is said to be the first national President ever to visit a World Taekwondo Championships, also expressed his hope that the World Taekwondo Demonstration Team would be able to perform at the ITF World Championships in North Korea's capital Pyongyang in September.
The World Taekwondo Federation (WTF) demonstrators perform during the opening ceremony of the WTF World Taekwondo Championships at T1 Arena in Muju, North Jeolla Province, on June 24, 2017. The Nanjing accords also set guidelines that would allow ITF athletes to participate in World Taekwondo events, so long as it was under World Taekwondo rules. They are expected to discuss North Korea's possible participation in the 2018 PyeongChang Winter Olympics. In the North, where state linguists abhor foreign terminology, athletes use Korean translations not readily understandable to South Korean players.