Hugh Nicol holds the record for most stolen bases in a single season with 138 in 1887. Rickey Henderson holds the modern day record with 130 in 1982
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Dom DiMaggio of the 1950 Boston Red Sox led the American League in stolen bases with 15.
Vince Coleman of the St. Louis Cardinals stole more than 100 bases for three consecutive seasons (1985, 1986, 1987). In 1985, his rookie year, Coleman recorded 110 stolen bases. He stole 107 and 109 bases in 1986 and 1987, respectively.
Source Baseball-Almanac Most stolen bases in same game: A.L. Eddie Collins playing for Philadelphia Athletics (6) ON 9-11-1912 & (6) on 9-22-1912. Carl Crawford of the Tampa Bay Rays tied the league record with 6 on May 3, 2009 vs. the Boston Red Sox. For the N.L. George Gore playing for the Chicago White Stockings (7) on 6-25-1881 & Billy Hamillton playing for Philadelphia Phillies (7) on 8-31-1894.
One is Alfonso Soriano (LF for Cubs)
Rickey Henderson, who was inducted into the Baseball Hall of Fame in 2009, holds the major league record for career steals with 1,406. He also holds the record for most stolen bases in a season with 130 in 1982.