Wilhelm was on the ballot for the Baseball Hall of Fame for eight years before he was elected. After Wilhelm failed to garner enough votes for induction in 1983, sportswriter Jim Murray criticized the voters, saying that while Wilhelm never had the look of a baseball player, he was "the best player in history at what he does." He fell short by 13 votes in 1984. Wilhelm was inducted into the Baseball Hall of Fame in 1985. At his induction ceremony, he said that he had achieved all three of his initial major league goals: appearing in a World Series, being named to an All-Star team, and throwing a no-hitter.