Consecutive Shutout Innings In The World Series
 

The 1966 World Series between the Baltimore Orioles and the LA Dodgers showcased the O's pitching staff throwing 33 innings in a row without allowing a run; from the 3rd inning of game 1 through the completion of the 4 game sweep. I have tried without success to determine if this is a record.

Any help out there ?

One of the best teams of my lifetime

Sorry, had to post that. They had everything, damn near perfect.

LA had 14 hits in 36 innings !

Found this one for the 1992 Cubs: Who didn't score on Apr. 27, 28, 29 or May 1, and the first inning of their May 2 game, bounding the streak at 36 innings.
World Series records seem to be by the pitcher.

If we are talking regular season...the 1985 Astros went 42 straight innings without a run.

Personal streak record is Whitey Ford with 33 and 2/3s on his own, but can't find anything for a team. It is probably Baltimore in 66 though as that is the WS with the least amount of total runs scored

Found This
 

World Series Single Game and Single Series Records Through 2005
Most consecutive scoreless innings one series—27, Christy Mathewson, New York N.L., 1905