- Jun 1 FM multiplex stereo broadcasting 1st heard
- Jun 3 "Wildcat" closes at Alvin Theater NYC after 172 performances
- Jun 3 93rd Belmont: Braulio Baeza aboard Sherluck wins in 2:29.2
John F. Kennedy
Nikita Khrushchev
Event of Interest
Jun 4 LPGA Western Open Women's Golf, Belle Meade CC: Mary Lena Faulk wins by 6 strokes ahead of runner-up Betsy Rawls
Betsy Rawls
Summit of Interest
Jun 4 US President John F. Kennedy and Soviet leader Nikita Khrushchev meet at the Vienna Summit in Austria
Nikita Khrushchev
John F. Kennedy
- Jun 8 Test Cricket debut of William Morris Lawry, v England at Edgbaston, 57
Baseball Record
Jun 8 Milwaukee sets record of 4 consecutive HRs (Eddie Mathews, Hank Aaron, Joe Adcock & Frank Thomas)
Hank Aaron
Baseball Record
Jun 11 Roger Maris hits 19th & 20th of 61 HRs
Roger Maris
- Jun 12 Dutch Lockheed Electricity "Sirius" accident at Cairo, kills 20
- Jun 13 "Billy Barnes People" opens at Royale Theater NYC for 8 performances
- Jun 14 106°F, hottest temperature in San Francisco
- Jun 15 Expansion Washington Senators are 30-30, latest date an expansion team will be at .500, Washington will lose their next 10 games
- Jun 16 Dave Garroway is fired as Today Show host
- Jun 16 Discoverer 25 launched
- Jun 16 Soviet ballet dancer Rudolf Nureyev defects to West at Le Bourget Airport in Paris
- Jun 17 "Billy Barnes People" closes at Royale Theater NYC after 8 performances
- Jun 17 US Open Men's Golf, Oakland Hills CC: Gene Littler wins his sole major title, 1 stroke ahead of runners-up Bob Goalby and Doug Sanders
- Jun 18 CBS radio cancels Gunsmoke
- Jun 18 KBMT TV channel 12 in Beaumont, TX (ABC) begins broadcasting
- Jun 19 "Little Egypt (Ying-Yang)" by Coasters peaks at #23
- Jun 19 Charlie Finley, changes A's manager Joe Gordon (26-33) for Hank Bauer
- Jun 19 Kuwait declares independence from UK
- Jun 19 NY Yankee Roger Maris hits his 25th of 61 HRs
- Jun 19 US Supreme Court struck down a provision in Maryland's constitution requiring state office holders to believe in God
- Jun 22 Moise Tsjombe freed from prison in Congo
- Jun 22 Beatles record Aint She Sweet, Cry for a Shadow, When the Saints Go Marching In, Why, Nobody's Child & My Bonnie, in Hamburg
- Jun 23 The Antarctic Treaty, ensuring that Antarctica is used for peaceful purposes; for international cooperation in scientific research; and does not become the scene or object of international discord, comes into force
Event of Interest
Jun 23 Cubs Ernie Banks ends his 717 consecutive-games-played streak
Ernie Banks
- Jun 23 Philadelphia Phillies overcome 9 run deficit; trailing 11-2 after 7 innings, score 4 in 8th and 6 in 9th to beat Pirates, 12-11 at Forbes Field, Pittsburgh
- Jun 23 USAF Major Robert M White takes X-15 to an altitude of 32,830 m
- Jun 23 11th Berlin International Film Festival: "The Night" wins the Golden Bear
- Jun 24 "Happiest Girl in the World" closes at Martin Beck NYC after 97 performances
- Jun 24 Beatles record "If You Love Me Baby"
- Jun 24 Iraq demands dominion over Kuwait
- Jun 25 Baltimore and California use a record 16 pitchers in a game (8 each) in 14 inns
- Jun 25 Iraq announces that Kuwait is a part of Iraq (Kuwait disagrees)
- Jun 27 Ghana imposes a total ban on exports to South Africa and South West Africa
- Jun 28 Phils and San Francisco set then record longest night game (5h11m) 7-7 15 innings tie
- Jun 29 Launch of Transit 4a, with 1st nuclear power supply (SNAP-3)
Baseball Record
Jun 29 SF outfielder Willie Mays becomes the 4th player in MLB history with 3 or more home runs twice in one season with a 10th inning blast in Giants 8-7 win over the Phillies in Philadelphia
Willie Mays
- Jun 29 The International Labour Organisation (ILO) calls for South Africa's withdrawal at the Geneva Conference in protest of the racial policies of the South African government
- Jun 30 Buddy Rogers beats Pat O'Conner in Chicago, to become NWA champ
- Jun 30 NASA Explorer Micrometeoroid research mission fails to reach Earth orbit