Orel Hershiser with 59.
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.
The MLB record was set by Oakland A's pitcher Brad Ziegler with 27 scoreless innings on Sunday July 27, 2008. The record of 25 scoreless innings was previously held George McQuillan of the 1907 Philadelphia Phillies.
Brandon Webb in 2007 with 42 1/3 consecutive scoreless innings.
Jerry Koosman of the 1973 Mets with 31 2/3. Currently (June 7, 2012), R.A. Dickey has thrown 24 2/3 consecutive scoreless innings.
Click on the 'Scoreless Innings Leaders' link on this page to see a list of MLB career leaders of scoreless innings pitched.
Whitey Ford
The star lefty handed pitcher for the Boston Red Sox, Babe Ruth, established the record of 29 and 2 thirds consecutive scoreless World Series innings pitched. It was not till 1961 that Whitey Ford broke Babe Ruth's World Series record, at 33 innings.
The record is 59 by Orel Hershiser of the Los Angeles Dodgers between August 30, 1988 and September 28, 1988. Don Drysdale did it back in either the 50's or the 60's, but he had a record 58.2 scoreless innings, which basically means 6 straight shutouts plus 2.2 extra innings. Orel Herseiser broke that record back in 1988 with 59.0 consecutive scoreless innings
58 innings by Orel Herschiser
The stub cost $1,500 to this day.
Babe Ruth with 29 2/3 consecutive scoreless innings pitched in World Series play.