- Jun 2 Horace Clarke, baseball 2nd baseman (NY Yankees)
- Jun 2 Jim Maloney, American baseball pitcher (MLB All Star 1965; pitched 2 x no-hitters 1965, 1 in 1969; Cincinnati Reds), born in Fresno, California
- Jun 2 Yuri Pshenichnikov, Soviet soccer goalkeeper and coach (19 caps; FC Pakhtakor Tashkent, CSKA Moscow), born in Tashkent, Uzbekistan (d. 2019)
- Jun 3 Richard Edwards, West Indian cricket fast bowler (5 Tests, 18 wickets; Barbados), born in Christ Church, Barbados
- Jun 5 Tiger Lance, South African cricketer (South African batting all-rounder 1961-67) (d. 2010)
- Jun 6 Willie-John McBride, Irish rugby union lock (63 Tests Ireland, 17 British Lions; Ballymena RFC) and coach (1983 Lions tour to NZ), born in Toomebridge, Northern Ireland
- Jun 17 Bobby Bell, American College/Pro Football HOF linebacker (Uni of Minnesota; Super Bowl 1970 KC Chiefs; NFL Defensive Player of the Year 1969; First-team All-Pro 1970; Pro Bowl 1970, 71, 72), born in Shelby, North Carolina
- Jun 18 Jim Albus, American golfer (Senior Players C'ship 1991), born in Staton Island, NY
- Jun 19 Shirley "Cha Cha" Muldowney, American drag racer (NHRA Top Fuel C'ship in 1977, 80, 82; International Motorsports Hall of Fame), born in Burlington, Vermont
- Jun 23 Mike Shrimpton, cricketer (occasional NZ Test batsman 1963-74)
- Jun 23 Simon Hobday, South African golfer (US Senior Open 1984), born in Mafikeng, South Africa (d. 2017)
Wilma Rudolph (1940-1994)
Jun 23 American athlete (3 Olympic gold 100/200/4x100m 1960), born in Saint Bethlehem, Tennessee
- Jun 29 John Dawes, Welsh rugby union centre (22 caps Wales, 4 caps British & Irish Lions; London Welsh; Barbarians), born in Abercarn, Wales (d. 2021)
- Jun 29 Nancy Ramey, American swimmer (WR 100m butterfly 1:09.1 1959; 200m butterfly 2:40.5 1958; Olympic silver 100m butterfly 1956), born in Seattle, Washington
- Jun 30 Brian Aldridge, New Zealand cricket umpire (26 Tests, 45 ODIs), born in Christchurch, New Zealand (d. 2021)
About June 1940
How Old? 83 years old
Generation: Silent Generation
Leap Year: Yes
Baseball Players
Basketball Stars
Boxers
Footballers
NFL Stars
Tennis Champions