- Jun 1 Jack Kralick, American baseball pitcher (MLB All Star 1964; no hitter 1962; Washington Senators/Minnesota Twins, Cleveland Indians), born in Youngstown, Ohio (d. 2012)
- Jun 1 Jim George, American weightlifter (Olympic silver light heavyweight 1960; bronze 1956; WR snatch, clean & jerk 1956), born in Akron, Ohio
- Jun 3 Ken Ploen, American CFL HOF quarterback (CFL All-Star 1965; CFL West All-Star 1957, 59, 65 Winnipeg Blue Bombers), born in Lost Nation, Iowa (d. 2024)
- Jun 6 Bobby Mitchell, American Pro Football Hall of Fame running back (Pro Bowl 1960, 62–64; First-team All-Pro 1962–64; Cleveland Browns, Washington Redskins), born in Hot Springs, Arkansas (d. 2020)
- Jun 11 Fazal-ur-Rehman, Pakistani cricket spin bowler (1 Test, 1 wicket; Lahore, Punjab), born in Amritsar, India
- Jun 11 Trevor Hemmings, British businessman (Owner Preston North End FC; 3 x Grand National winners Hedgehunter [2005], Ballabriggs [2011], Many Clouds [2015]), born in London, England (d. 2021)
- Jun 12 Ian Craig, Australian cricket batsman and captain (11 Tests; NSW), born in Yass, Australia (d. 2014)
- Jun 20 Len Dawson, American Pro Football HOF quarterback (Super Bowl MVP 1970 KC Chiefs; AFL Championship MVP 1966; AFL MVP 1962; First-team All-AFL 1962, 66) and broadcaster (HBO, NBC), born in Alliance, Ohio (d. 2022)
- Jun 22 Vaman Kumar, Indian cricketer (leggie who only played 2 Tests), born in Madras, India
- Jun 23 György Kárpáti, Hungarian water polo player (Olympic gold 1952, 56, 64), born in Budapest, Hungary (d. 2020)
- Jun 29 Katsuya Nomura, Japanese baseball catcher and manager (first NPB batter to win Triple Crown 1965; Nankai Hawks), born in Kyōtango Kyoto, Japan (d. 2020)
About June 1935
How Old? 88 years old
Generation: Silent Generation
Leap Year: No
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