Events in Sport
- Jun 1 French Championships Men's Tennis: Gottfried von Cramm of Germany wins his 2nd French title; beats Englishman Fred Perry 6-0, 2-6, 6-2, 2-6, 6-0
- Jun 1 French Championships Women's Tennis: German Hilde Sperling beats Simonne Mathieu of France 6-3, 6-4 for her second of 3 straight French titles
- Jun 6 US Open Men's Golf, Baltusrol GC: Relatively unknown pro Tony Manero wins by 2 strokes from runner-up Harry Cooper
- Jun 6 68th Belmont: James Stout aboard Granville wins in 2:30
- Jun 7 Yanks beat Indians 5-4 in 16; longest game without a strikeout
- Jun 12 LPGA Western Open Women's Golf, Topeka CC: Opal Hill scores a 3 & 2 win over Mrs. Charkes Dennehy to claim her second consecutive major title
- Jun 18 1st bicycle traffic court in America established, Racine, Wisconsin
- Jun 19 Joe McCarthy is named to manage AL All-Stars, rather than high-strung Mickey Cochrane, who is very close to a nervous breakdown
Event of Interest
Jun 20 Jesse Owens of US sets 100 meter record at 10.2

Jesse Owens
Baseball Record
Jun 24 Rookie outfielder Joe DiMaggio ties 3 MLB records in New York's 10-run 5th inning against the White Sox, hitting 2 home runs for 8 total bases; Yankees beat Chicago, 18-4

Joe DiMaggio
- Jun 27 British Open Men's Golf, Royal Liverpool GC: Englishman Alf Padgham wins his only major title, 1 stroke ahead of runner-up Jimmy Adams of Scotland
Birthdays in Sport
- Jun 2 Vladimir Golubnichy, Soviet walker (Olympic gold 20k 1960, 68), born in Sumy, Ukraine
- Jun 3 Colin Meads, New Zealand rugby player
- Jun 5 M A "Kelly" Seymour, cricketer (South African off-spinner in 7 Tests 1963-70)
- Jun 9 Mick O'Dwyer, Gaelic footballer and manager, born in Waterville, Ireland
- Jun 18 Denny Hulme, New Zealand auto racer (F1 World Drivers' Champion 1967), born in Motueka, New Zealand (d. 1992)
- Jun 29 David Jenkins, American figure skater (Olympic gold singles 1960; World C'ship gold singles 1957-59), born in Akron, Ohio
Harmon Killebrew
Jun 29 Harmon Killebrew, American baseball player (Minnesota Twins), born in Payette, Idaho (d. 2011)

Harmon Killebrew
Deaths in Sport
- Jun 19 John Sharpe, cricketer (1-eyed fast bowler for England 1891-92), dies