The New York Yankees Mariano Rivera holds the all time Post season record of 33 1/3 scoreless innings pitched. Whitey Ford holds the World Series record with 33 consecutive scoreless innings pitched. Christy Mathewson pitched 27 consecutive scoreless innings in a single post season as he threw 3 shutouts in the 1905 World Series.
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Through the 2008 season, that is Mariano Rivera with 34 2/3 scoreless innings between 1998-2000.