To date, there have been seventeen perfect game pitches (27 batters up and 27 batters down). They are:

American League

Pitcher	Date	Result
David Cone	07-18-1999	New York 6, Montreal 0
David Wells	05-17-1998	New York 4, Minnesota 0
Mike Witt	09-30-1984	California 1, Texas 0
Kenny Rogers	07-28-1994	Texas 4, California 0
Len Barker	05-15-1981	Cleveland 3, Toronto 0
Catfish Hunter	05-08-1968	Oakland 4, Minnesota 0
Don Larsen	10-08-1956	New York 2, Brooklyn 0*
Charlie Robertson	04-30-1922	Chicago 2, Detroit 0
Addie Joss	10-02-1908	Cleveland 1, Chicago 0
Cy Young	05-05-1904	Boston 3, Philadelphia 0

* Game 5, 1956 World Series

National League

Pitcher	Date	Result
Randy Johnson	05-18-2004	Arizona 2, Atlanta 0
Dennis Martinez	07-28-1991	Montreal 2, Los Angeles 0
Tom Browning	09-16-1988	Cincinnati 1, Los Angeles 0
Sandy Koufax	09-09-1965	Los Angeles 1, Chicago 0
Jim Bunning	06-21-1964	Philadelphia 6, New York 0
Monte Ward	06-17-1880	Providence 5, Buffalo 0
Lee Richmond	06-12-1880	Worcester 1, Cleveland 0

Information from Major League Baseball.