- Jul 1 International Geophysical Year begins (until Dec 31, 1958)
- Jul 1 WRLP TV channel 32 in Greenfield/Keene/Brat, Massachusetts (IND) begins broadcasting
- Jul 2 1st submarine designed to fire guided missiles launched, Grayback
- Jul 4 Dutch 2nd Chamber accepts temporary tax increase
Wimbledon Men's Tennis
Jul 5 Wimbledon Men's Tennis: Lew Hoad successfully defends in crown beating fellow Australian Ashley Cooper 6-2, 6-1, 6-2
- Jul 5 England cricket batsman Tom Graveney scores a brilliant 258 in the drawn 3rd Test v West Indies at Trent Bridge
- Jul 5 British Open Men's Golf, St Andrews: South African Bobby Locke wins his 4th Open by 3 strokes from defending champion Peter Thomson of Australia
Music Concert
Jul 6 John Lennon (16) & Paul McCartney (15) meet for 1st time as Lennon's rock group Quarrymen perform at St. Peter's, Woolton's Parish Church in Liverpool
Wimbledon Women's Tennis
Jul 6 Wimbledon Women's Tennis: Althea Gibson becomes the first black female athlete to win Wimbledon beating Darlene Hard 6-3, 6-2
Historic Event
Jul 6 Harry S. Truman Library forms in Independence, Missouri
Historic Event
Jul 8 Irish premier Eamon de Valera arrests Sinn Féin leaders
Conference of Interest
Jul 8 First Pugwash Conference, the "Thinkers Lodge" held on nuclear disarmament at Pugwash, Nova Scotia, Canada, founded by Joseph Rotblat and hosted by Cyrus Eaton
Historic Event
Jul 12 1st President to fly in helicopter-Dwight Eisenhower
John Glenn Orbits Earth
Jul 16 US Marine Major John Glenn sets transcontinental speed record (03:28:08)
Sports History
Jul 20 44th Tour de France: French cyclist Jacques Anquetil wins first of 5 general classification titles
Sports History
Jul 21 1st black to win a major US tennis tournament (Althea Gibson)
- Jul 21 PGA Championship Men's Golf, Miami Valley GC: Lionel Hebert wins 2 & 1 from Dow Finsterwald; last time event played under match-play format
- Jul 24 KTVC TV channel 6 in Ensign, KS (CBS) begins broadcasting
- Jul 24 US performs nuclear Test at Nevada Test Site
- Jul 25 Monarchy in Tunisia abolished in favor of a republic
- Jul 25 Peter Loader takes a cricket hat-trick for England v WI at Headingley
- Jul 25 US performs nuclear Test at Nevada Test Site
Sports History
Jul 26 Mickey Mantle hits career HR # 200
TV Show Appearance
Jul 28 Jerry Lee Lewis makes his 1st TV appearance (Steve Allen Show)
Boxing Title Fight
Jul 29 Floyd Patterson TKOs Tommy Jackson in 10 for heavyweight boxing title
- Jul 29 International Atomic Energy Agency formed by UN