- Jul 1 The Canadian Broadcasting Corporation links television broadcasting across Canada via microwave
- Jul 2 US performs atmospheric nuclear test at Bikini Island
Film Premier
Jul 2 Musical drama Film "King Creole" starring Elvis Presley based on a novel by Harold Robbins premieres
Elvis Presley
Harold Robbins
- Jul 3 "Andy Williams Show" premieres on ABC (later on CBS & NBC)
Tennis Open
Jul 4 Wimbledon Men's Tennis: In an all-Australian final Ashley Cooper wins his only Wimbledon singles title beating Neale Fraser 3-6, 6-3, 6-4, 13-11
Ashley Cooper
- Jul 5 Wimbledon Women's Tennis: American Althea Gibson beats Angela Mortimer of England 8-6, 6-2 to successfully defend her title
- Jul 5 J Pengel forms government/Emanuels premier of Suriname
- Jul 5 First ascent of Gasherbrum I (Pakistani–Chinese border), 11th highest peak on earth
- Jul 5 British Open Men's Golf, Royal Lytham & St Annes GC: Australian Peter Thomson wins by 4 strokes in a 36-hole playoff with Welshman Dave Thomas, for his 4th Open title
- Jul 6 Adolfo López Mateos elected President of Mexico
- Jul 7 England cricket batsman Arthur Milton scores an unbeaten 104 in his Test debut, drawn 3rd Test v NZ at Headingley
Event of Interest
Jul 7 President Eisenhower signed a bill approving Alaskan statehood
Dwight D. Eisenhower
- Jul 7 William Shea outlines plans for a $12M stadium at Flushing Meadows NY
- Jul 8 25th All Star Baseball Game: AL wins 4-3 at Memorial Stadium, Balt
- Jul 9 Giant splash caused by fall of 90 million tons of rock & ice into Lituya Bay, Alaska washes 1,800 feet up the mountain
- Jul 10 1st parking meters installed in England (625 installed)
- Jul 10 Ex-king Norodom Sihanoek appointed premier of Cambodia
- Jul 12 "Li'l Abner" closes at St James Theater NYC after 693 performances
- Jul 12 US performs atmospheric nuclear test at Bikini Island
- Jul 14 General Abdul K Kassem forms a military government in Iraq overthrowing the monarchy
- Jul 14 Pope Pius XII publishes his 39th and last encyclical Meminisse juvat
- Jul 15 President Eisenhower sends US troops to Lebanon; they stay 3 months
- Jul 17 King Hussein declares himself head of Jordan/Iraqi federation
- Jul 17 Peter Shaffer's "Five Finger Exercise" premieres in London
- Jul 17 US performs atmospheric nuclear test at Enwetak
- Jul 18 6th British Empire Games and Commonwealth Games open in Cardiff, Wales
- Jul 19 "Oh, Captain!" closes at Alvin Theater NYC after 192 performances
- Jul 19 45th Tour de France won by Charly Gaul of Luxembourg
- Jul 20 PGA Championship Men's Golf, Llanerch CC: Dow Finsterwald wins 1st PGA C'ship held in current stroke play format; wins by 2 from Billy Casper
- Jul 20 King Hussein of Jordan breaks off diplomatic relations with UAR
- Jul 20 Detroit Tigers pitcher Jim Bunning no-hits Boston Red Sox, 3-0
- Jul 22 US performs atmospheric nuclear Test at Bikini Island
- Jul 23 1st 4 women named to peerage in House of Lords
- Jul 24 14 people named 1st life peers in UK
Event of Interest
Jul 24 Ted Williams is fined $250 for spitting at Boston fans again
Ted Williams
- Jul 24 Test Cricket debuts against NZ for Dexter, Illingworth & Subba Row
- Jul 25 The African Regroupment Party (PRA) holds its first congress in Cotonou.
- Jul 26 Army launches 4th US successful satellite, Explorer IV
- Jul 29 US President Eisenhower signs into law National Aeronautics and Space Act of 1958
- Jul 29 Southern Pacific Bay ferries stop running in San Francisco
- Jul 31 Anti-Chinese uprising in Tibet