List of relief pitchers with most consecutive saves
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Beginning in 1999, the blown save was recorded on a major league-wide basis as a baseball statistic.
This is the list of relief pitchers with the most consecutive save chances converted.
| Name | Team and league | Date | Saves |
| Éric Gagné | Los Angeles Dodgers, NL | August 28, 2002 - July 4, 2004 | 84 |
| Tom Gordon | Boston Red Sox, AL | April 19, 1998 - June 5, 1999 | 54 |
| Rod Beck | San Francisco Giants, NL | August 19, 1993 - April 29, 1995 | 41 |
| Trevor Hoffman | San Diego Padres, NL | August 24, 1997 - July 26, 1998 | 41 |
| Dennis Eckersley | Oakland Athletics, AL | September 15, 1991 - August 8, 1992 | 40 |