has a major league rotation ever tossed 3 straight complete game shut outs?

Answer 1

No doubt it has happened more than once along the way, and more often in olden days than of more recent vintage as bullpens have evolved and CGs have become a rarer bird every season.

But for certain it happened in the 1905 World Series, Games 3, 4, and 5, as the New York Giants won the title, 4 games to 1, over the Philadelphia Athletics.

Quick review:

Game 1: the Giants win on the road, 3-0, as HOFer Christy Mathewson utterly outduels HOFer Eddie Plank.

Game 2: the A's return the favor, winning 3-0 on the road behind HOFer Chief Bender, as he outlasts HOFer Iron Joe McGinnity. Red Ames pitches the ninth for the Giants, the only relief appearance of the entire Series.

And here we go...
Game 3: Mathewson on the road again, winning 9-0 against Andy Coakley. (October 12)

Game 4: finally a home win, as McGinnity betters Plank, 1-0. (October 13)

Game 5: the Giants wrap things up at home (this before the now-standard 2-3-2 format) behind Mathewson, spinning his third shutout of the Series, 2-0 over Bender. (October 14)

Three consecutive CG shutouts against the AL champion, in three days, two by one HOFer, the second on one day's rest.

Home runs: none.
Longest game by time: 1:55 (Games 2, 3, 4)
Largest attendance: 24992 (Game 2 in New York, a Tuesday)
Complete games: nine (out of ten starts)
Giants ERA: 0.00 (the three runs in Game 2 were unearned)

Things were different back then.

Answer 2

The 1966 World Series featured shutouts in games 2, 3, and 4 by the Orioles' Jim Palmer, Wally Bunker and Dave McNally. The series went just four games with Palmer tossing a 1-0 shutout in game two, Bunker beating Sandy Koufax, 6-0, in game three, and McNally beating Don Drysdale 1-0 in game four.

Answer 3

i dont think so, that'd be a beast rotation