Despite retiring, Moore couldn't escape the limelight, and received numerous awards and dedications. In 1965, he was given the key to the city of San Diego, California. In 1970, he was named "Man of The Year" by "Listen Magazine", and received the key to the city of Sandpoint, Idaho. He was elected in 1985 to the St. Louis city Boxing Hall of Fame and he received the Rocky Marciano Memorial Award in the city of New York in 1988. In 1990, he became a member of the International Boxing Hall of Fame in Canastota, New York, being one of the original members of that institution.