Dave Concepción, who was a part of the "Big Red Machine" Cincinnati Reds teams that won two championships in the1970s, fell short of the Hall of Fame.
The nine-time All-Star came in third place in the Veterans Committee voting behind former general manager Pat Gillick and former players' association head Marvin Miller. Concepción received eight votes.
Gillick, who won three World Series titles in 27 years, was the only nominee to be elected by the committee. Miller, who transformed the players' union into one of the strongest in the country and changed the landscape of free agency in sports, fell one vote short.
Concepción helped a star-studded Reds team win back-to-back World Series in 1975 and 1976.
The Venezuelan-born shortstop, who played 19 years for the Reds, won five gold gloves, had more than 2,300 hits and stole more than 300 bases.
To be elected, a candidate needed to secure at least 75 percent of the 16 ballots.
Gillick will be inducted into the Hall during ceremonies in Cooperstown on July 24 with any players chosen in January by the Baseball Writers' Association of America. The BBWAA ballot includes holdovers Bert Blyleven and Roberto Alomar, and newcomers Rafael Palmeiro and Juan González.
The Associated Press contributed to this story.