Events in Sport
- Jun 2 European Cup Final, Wembley Stadium, London: Ajax beats Panathinaikos, 2-0; Dutch champions begin 3-year period of domination
- Jun 3 Chic Cub Ken Holtzman 2nd no-hitter beats Cincinnati Reds, 1-0
Event of Interest
Jun 3 Test Cricket debut of Imran Khan, v Englandl at Edgbaston (5, 0-36, 0-19)

Imran Khan
- Jun 4 Oakland A's beat Washington Senators, 5-3, in 21 innings
- Jun 4 Pakistani cricketer Zaheer Abbas scores 274 vs England at Edgbaston in 544 minutes
- Jun 5 103rd Belmont: Walter Blum aboard Pass Catcher wins in 2:30.6
- Jun 5 French Open Women's Tennis: Evonne Goolagong wins her first career Grand Slam singles title; beats fellow Australian Helen Gourlay 6-3, 7-5
Baseball Record
Jun 6 Willie Mays hits record 22nd & last extra inning HR

Willie Mays
French Open Men's Tennis
Jun 6 French Open Men's Tennis: Defending champion Jan Kodeš of Czechoslovakia beats Ilie Năstase of Romania 8-6, 6-2, 2-6, 7-5

Ilie Năstase
- Jun 8 White Sox draft Danny Goodwin #1, he refuses to sign
LPGA Championship
Jun 13 LPGA Championship Women's Golf, Pleasant Valley CC: Kathy Whitworth wins by 4 strokes from Kathy Ahern

Kathy Whitworth
- Jun 16 Groningen soccer team forms in Groningen
US Golf Open
Jun 21 US Open Men's Golf, Merion GC: Lee Trevino wins his 2nd Open by 3 strokes in a Monday 18-hole playoff with Jack Nicklaus

Jack Nicklaus
- Jun 21 Indians Ken Harrelson retires from baseball to play pro golf
- Jun 23 Phillies Rick Wise no-hits Cincinnati Reds, 4-0
- Jun 27 US Open Women's Golf, Kahwa GC: JoAnne Carner wins by 7 strokes from Kathy Whitworth
- Jun 28 Phillies' Rick Wise hits 2 HRs and no-hits Reds
Event of Interest
Jun 28 US Supreme Court (8-0) overturns draft evasion conviction of Muhammad Ali

Muhammad Ali
Birthdays in Sport
- Jun 1 Tony Sanneh, American soccer utility (43 caps; Hertha BSC, 1. FC Nürnberg, D.C. United; LA Galaxy), born in St. Paul, Minnesota
- Jun 3 Aaron Ledesma, baseball player
- Jun 3 Carl Everett, outfielder (NY Mets), born in Tampa, Florida
- Jun 4 Patrick Scott, NFL/WLAF linebacker (Pittsburgh Steelers, Frankfurt Galaxy)
- Jun 4 Roy Janse, tornado sailor (Olympics 1996), born in Edmonton, Alberta
- Jun 5 Takaya Tsubobayashi, Japanese racing driver
- Jun 7 Terrell Buckley, NFL cornerback (Miami Dolphins)
- Jun 8 Elena Brioukhovets, Odessa Ukraine, tennis star (finalist 1990 Moscow)
- Jun 8 Jamie Morgan, Australia, tennis star
- Jun 8 Tom Nutten, CFL/NFL centers (Hamilton Tiger Cats, Buffalo Bills)
- Jun 9 D'Marco Farr, defensive tackle (St Louis Rams)
- Jun 9 Roderick Lewis, NFL tight end (Houston/Tennessee Oilers)
- Jun 9 Romano Sion, soccer player (Dordrecht '90/FC Groningen)
- Jun 9 Gilles De Bilde, Belgian footballer
- Jun 10 DeWayne Dotson, NFL linebacker (Miami Dolphins)
- Jun 10 Bruno N'Gotty, French footballer
- Jun 11 Dion Foxx, American NFL linebacker (Miami Dolphins), born in Richmond, Virginia
- Jun 11 Duane Dmytryshyn, CFL receiver (Toronto Argonauts), born in Saskatoon, Saskatchewan, Canada
- Jun 12 Florencia Labat, Argentine tennis star (1992 Austrian), born in Buenos Aires, Argentina
- Jun 12 Iwan Tomasz, Polish soccer player (Roda JC, Feyenoord), born in Słupsk, Poland
- Jun 12 Mark Henry, American 238+lbs (108+kg) weightlifter, born in Silsbee, Texas
- Jun 12 Ryan Klesko, American MLB outfielder (Atlanta Braves), born in Westminster, California
- Jun 12 David Defiagbon, Nigerian-Canadian boxer (Olympic silver 1996), born in Sapele, Delta State, Nigeria (d. 2018)
- Jun 14 Bruce Bowen, American NBA guard (Boston Celtics), born in Merced, California
- Jun 14 Fred Baxter, American NFL tight end (NY Jets), born in Brundidge, Alabama
- Jun 14 Ramon Vega, former Swiss footballer
- Jun 15 Nathan Astle, New Zealand cricketer (batsman), Test debut v Zimbabwe in 1996
- Jun 15 Stuart Howell, Australian baseball pitcher (Olympics 1996)
- Jun 16 Andre President, tight end (Philadelphia Eagles)
- Jun 16 Chris Gomez, American baseball infielder (San Diego Padres), born in Los Angeles, California
- Jun 17 Tripp Schwenk, American 100m/200m backstroke (Olympic silver 1996), born in Sarasota, Florida
- Jun 18 Blair Pocock, cricketer (New Zealand opening batsman 1993)
- Jun 18 Nigel Owens, Welsh rugby union referee (record holder for most Test matches refereed), born in Mynyddcerrig, Carmarthenshire
- Jun 20 Rodney Rogers, NBA forward (LA Clippers)
- Jun 20 William Gaines, NFL defensive tackle (Washington Redskins)
- Jun 21 Nicole Stevenson, Australian backstroker (Olympic bronze 1992, 96), born in Melbourne, Victoria
- Jun 21 Tyrone Drakeford, NFL cornerback (SF 49ers)
- Jun 22 Brant Brown, infielder (Chicago Cubs), born in Porterville, California
- Jun 22 Laryssa Biesenthal, rower (Olympics 1996), born in Walkertown, Ontario
- Jun 22 Kurt Warner, American Pro Football Hall of Fame quarterback (Super Bowl 1999 [MVP], St. Louis Rams; Pro Bowl (1999–2001, 08), born in Burlington, Iowa
- Jun 23 Felix Potvin, Anjou, NHL goalie (Toronto Maple Leafs)
- Jun 23 Joe Rumolo, CFL defensive linebacker (Hamilton Tiger Cats)
- Jun 24 LaMonte Coleman, NFL fullback (Pittsburgh Steelers)
- Jun 25 Michael Tucker, American baseball outfielder (KC Royals), born in South Boston, Virginia
- Jun 25 Mike Sutherland, Canadian football offensive linebacker (Montreal Alouettes), born in Ottawa, Ontario
- Jun 25 Robert Reichel, Czech hockey forward (NY Islanders, Olympic gold 1998), born in Litvínov, Czech Republic
- Jun 25 Ryan Carey, CFL safety (Saskatchewan Roughriders)
- Jun 25 Steve Tikolo, Kenyan cricketer (outstanding Kenyan batsman in 1996 World Cup), born in Nairobi, Kenya
- Jun 25 Neil Lennon, Northern Irish footballer, born in Lurgan, Northern Ireland
- Jun 26 Carlton Gray, American NFL cornerback (Seattle Seahawks, Indianapolis Colts), born in Cincinnati, Ohio
- Jun 26 Eddie Parenti, 100m butterfly swimmer (Olympics 1996), born in Montreal, Quebec
- Jun 26 Max Biaggi, Italian Grand Prix motorcycle racer, born in Rome, Italy
- Jun 27 Brant Boyer, American football linebacker (Jacksonville Jaguars), born in Ogden, Utah
- Jun 27 Jimmy Kemp, American CFL quarterback (Edmonton Eskimos), born in Buffalo, New York
- Jun 28 Bobby Hurley, NBA guard (Sacramento Kings), born in Jersey City, New Jersey
- Jun 28 Gary Downs, NFL running back (Denver Broncos), born in New Bern, North Carolina
- Jun 28 Greg Keagle, American MLB right-handed pitcher (Detroit Tigers), born in Corning, New York
- Jun 28 Jeff Cothran, NFL fullback (Cin Bengals), born in Middletown, Ohio
- Jun 28 Kenny Cunningham, Irish footballer, born in Limón, Costa Rica
- Jun 28 Ron Mahay, American baseball player, born in Crestwood, Illinois
- Jun 29 Dennis Gerritsen, Dutch soccer player (NAC), born in Amsterdam
- Jun 29 Mike Sillinger, Canadian NHL right wing (Vanc Canucks, Anaheim Ducks), born in Regina, Saskatchewan, Canada
- Jun 29 Wendee Espinosa, female outfielder (Silver Bullets), born in Stockton, California
- Jun 30 Ann Marsh, fencer-foil (Olympics 1996), born in Royal Oak, Michigan