The three join broadcasters Tom Cheek, Ken Coleman, Dizzy Dean, Tony Kubek, Graham McNamee, Dave Niehaus and Dave Van Horne, who were selected by a National Baseball Hall of Fame and Museum committee for their excellence in broadcasting.
Nuxhall has 53 years of service with the Cincinnati Reds as both a player and broadcaster, spending 38 years in the booth. He died of cancer Nov. 15 at the age of 79.
King spent 25 years as the Oakland Athletics' radio play-by-play man. He died in 2005 at the age of 78 of complications from surgery.
Morgan, meanwhile, has been a network analyst for 23 years. He was inducted into the Hall of Fame as a player in 1990 after batting a career .271 average, having numerous appearances on the National League All-Star roster and collecting a pair of NL Most Valuable Player awards.
Morgan, Niehaus and Van Horne are the only active broadcasters on the ballot.
Denny Matthews won the award in 2007.