"If the neighbouring countries in Northeast Asia, including North and South Korea, can host the World Cup together, it would help to create peace in North and South Korea as well as Northeast Asia," Moon was cited as saying by his spokesman Park Su-hyun.
The South Korean president has been open to more dialogue with North Korea since he was elected on May 10. North Korea has so far shown no sign of responding, however, instead conducting missile tests at an unprecedented pace in defiance of the global sanctions imposed on it.
Moon made the comments during a meeting with Gianni Infantino, the president of FIFA, earlier on Monday.
Infantino has been visiting South Korea since last week for the FIFA Under-20 World Cup final between England and Venezuela that was held on Sunday.
Infantino said he would relay Moon's suggestions to China's President Xi Jinping, whom he is scheduled to visit later this week.
South Korea co-hosted the World Cup in 2002 with Japan.
(Reporting by Christine Kim; Editing by Hugh Lawson)
