Event of Interest
Sep 2 Cubs slugger Ernie Banks hits his MLB 400th career HR (off Curt Simmons) in Chicago's 5-3 win v St. Louis at Wrigley Field; Simmons also gave up Willie Mays' 400th HR in 1963

Ernie Banks
- Sep 3 Preparing a move to Anaheim, the Los Angeles Angels change their name to the California Angels
- Sep 8 Kansas City A's Bert Campaneris plays all 9 positions in a game
Baseball Record
Sep 9 LA Dodgers future Baseball Hall of Fame pitcher Sandy Koufax throws his 4th career no-hitter and first perfect game in a 1-0 win over the Chicago Cubs at Dodger Stadium

Sandy Koufax
- Sep 10 Phillies 10,000th game to a decision since 1900, Phils beat Cards
- Sep 11 Braves 2nd straight one-hitter against the Mets
- Sep 12 US National Championship Women's Tennis, Forest Hills, NY: Spaniard Manuel Santana beats Cliff Drysdale of South Africa 6-2, 7-9, 7-5, 6-1 for his lone US singles crown
- Sep 12 US National Championship Women's Tennis, Forest Hills, NY: Australian Margaret Smith wins her second of 5 US singles titles; beats American rival Billie Jean Moffitt 8-6, 7-5
Event of Interest
Sep 13 Willie Mays's 500th HR (off Don Nottebart), Giants 11th straight win

Willie Mays
- Sep 16 Boston Red Sox Dave Morehead no-hits Cleveland Indians, 2-0
Event of Interest
Sep 18 Mickey Mantle Day at Yankee Stadium: Mantle play his 2,000th game

Mickey Mantle
- Sep 25 60 year old Satchel Paige of KC A's pitches 3 scoreless innings
- Sep 26 LPGA Championship Women's Golf, Stardust CC: Sandra Haynie wins by 1 stroke from Clifford Ann Creed
- Sep 29 Ralph Boston of US, sets then long jump record at 27' 4 3/4"
- Sep 29 Phillies catcher Pat Corrales sets record by reaching base twice on catcher's interference in one game & 6 times in one season
- Sep 30 LA Dodger Don Drysdale (23-12) wins 13th straight game, 7 by shutouts