- Jun 1 Phoenix Suns guard Dan Majerle sets a then NBA Playoff record by sinking 8 three-pointers during the Suns’ 120-114 win over Seattle in Game 5 of the Western Conference Finals
- Jun 4 Cricket's "Ball of the Century" - Australian spin bowler Shane Warne bowls England batsman Mike Gatting with his first ball of an Ashes series; Australia wins 1st Test at Old Trafford by 179 runs
- Jun 5 125th Belmont: Julie Krone aboard Colonial Affair wins in 2:29.8
French Open Women's Tennis
Jun 5 French Open Women's Tennis: Germany's Steffi Graf wins her 3rd of 6 French singles titles; beats Mary Joe Fernández of the US 4-6, 6-2, 6-4
French Open Men's Tennis
Jun 6 French Open Men's Tennis: Spaniard Sergi Bruguera prevents Jim Courier French three-peat; beats American 6-4, 2-6, 6-2, 3-6, 6-3
Cricket History
Jun 7 Cricket's Graham Gooch dismissed handled the ball vs Australia at Old Trafford
- Jun 9 Stanley Cup Final, Montreal Forum, Montreal, Quebec: Montreal Canadiens beat LA Kings, 4-1 for a 4-1 series win; Canadiens' 24th SC Championship
LPGA Championship
Jun 13 LPGA Championship Women's Golf, Bethesda CC: Patty Sheehan wins her 4th major title by 1 stroke ahead of runner-up Lauri Merten
Baseball Record
Jun 16 Ken Griffey Jr. slugs his 100th career home run in Seattle
Sports History
Jun 18 Expo's Dennis Martínez is 92nd MLB pitcher to win 200 games
Cricket History
Jun 19 David Boon completes 15th Test cricket century, 164* v England at Lord's
NBA Finals
Jun 20 NBA Finals: Chicago Bulls become first team since legendary Boston Celtics of the 1960s to win 3 consecutive titles, with a 99–98 victory in Game 6 over Phoenix Suns; MVP: Michael Jordan for third straight year
US Golf Open
Jun 20 US Open Men's Golf, Baltusrol GC: Lee Janzen plays sub-70 golf all 4 rounds to tie tournament scoring record and win the first of his 2 Open titles, 2 strokes ahead of Payne Stewart
- Jun 22 NY Met Anthony Young ties record of 23rd straight lose
- Jun 25 NY Islander goalie Billy Smith elected to NHL Hall of Fame
- Jun 26 NHL Draft: Victoriaville Tigres (QMJHL) center Alexandre Daigle first pick by Ottawa Senators
Sports History
Jun 26 NY Met Eddie Murray is 20th to get 1,600 RBIs
- Jun 27 NY Met pitcher Anthony Young loses record 24th straight game
Senior Players Championship
Jun 27 Senior Players Championship Men's Golf, TPC of Michigan: Jim Colbert wins his lone career major title by 1 stroke from Raymond Floyd
- Jun 28 Carlton Fisk, 45, released by White Sox, as all time leader of most games caught and most HRs by a catcher
- Jun 28 Jacques Lemaire is named NJ Devils 8th Head Coach
- Jun 30 NBA Draft: Michigan center Chris Webber first pick by Orlando Magic (traded to Golden State)
Baseball Players
Basketball Stars
Boxers
Footballers
NFL Stars
Tennis Champions