- May 7 86th Kentucky Derby: Bill Hartack on Venetian Way wins in 2:02.4
- May 7 Dodgers Larry & Norm Sherry are baseball's 10th brother battery
- May 7 LA Dodger Norm Sherry's 11th HR wins the game for brother Larry
Sports History
May 7 Michael Tal beats Mikhail Botvinnik 12½-8½ for world chess championship
- May 13 Phillies lose 3rd consecutive 1-0 game
European Cup Final
May 18 European Cup Final, Glasgow: Ferenc Puskás scores 4, Alfredo Di Stéfano 3 as Real Madrid routs Eintracht Frankfurt, 7-3; 5th consecutive title for Los Blancos
Baseball History
May 19 SF Giants rookie Juan Marichal beats Philadelphia Phillies, 2-0 on debut at Candlestick Park; first National League hurler since 1900 to debut with a one-hitter
- May 20 Baseball game in Milwaukee postponed due to dense fog
- May 21 85th Preakness: Bobby Ussery aboard Bally Ache wins in 1:57.6
- May 27 Baltimore manager Paul Richards devises oversized catcher's mitt, used by Baltimore Oriole Clint Courtney
- May 28 59th Men's French Championships: Nicola Pietrangeli beats Luis Ayala (3-6, 6-3, 6-4, 4-6, 6-3)
French Open Women's Tennis
May 28 59th Women's French Championships: Darlene Hard beats Yola Ramirez (6-3, 6-4)
- May 30 Indianapolis 500: Greatest two-man duel in race history; winner Jim Rathmann and Rodger Ward battle out then-record 29 lead changes until Ward slows with tire trouble