Events in Sport
- Jun 4 NHL Western Conference Final: Dallas Stars beat Colorado Avalanche, 4 games to 3
- Jun 5 131st Belmont: Jose Santos aboard Lemon Drop Kid wins in 2:27.88
French Open Women's Tennis
Jun 5 French Open Women's Tennis: Steffi Graf of Germany wins her 22nd and final Grand Slam title; beats Martina Hingis 4-6, 7-5, 6-2; Graf's 6th French singles crown

Steffi Graf

Martina Hingis
US Women's Golf Open
Jun 6 US Open Women's Golf, Old Waverly GC: Juli Inkster breaks under-par scoring record with a 272 (−16) to win by 5 strokes ahead of runner-up Sherri Turner

Sherri Turner
French Open Men's Tennis
Jun 6 French Open Men's Tennis: Andre Agassi wins his 1st and only French title; beats Andrei Medvedev of the Ukraine 1-6, 2-6, 6-4, 6-3, 6-4

Andre Agassi
Event of Interest
Jun 19 Stanley Cup, Marine Midland Arena, Buffalo, NY: Dallas Stars edge Buffalo Sabres, 2-1 in triple overtime for 4-2 series win; Brett Hull clinches series with infamous "No Goal" ruling

Brett Hull
US Golf Open
Jun 20 US Open Men's Golf, Pinehurst CC: Payne Stewart wins his 2nd Open title by 1 stroke from Phil Mickelson

Payne Stewart

Phil Mickelson
- Jun 20 Cricket World Cup, Lord's, London: Shane Warne takes 4/33 as Australia beats Pakistan by 8 wickets; Lance Klusener (RSA), Player of Series
NBA Finals
Jun 25 NBA Finals: San Antonio Spurs beat New York Knicks, 78-77 in Game 5 for first title in franchise history; MVP: Tim Duncan

Tim Duncan
- Jun 26 NHL Draft: Long Beach Ice Dogs (IHL) center Patrik Stefan first pick by Atlanta Thrashers
- Jun 27 LPGA Championship Women's Golf, DuPont CC: Juli Inkster shoots final round 65 to win by 4 strokes ahead of runner-up Liselotte Neumann; completes career grand slam
- Jun 27 Senior Players Championship Men's Golf, TPC of Michigan: Hale Irwin wins his 5th of 7 Champions Tour major titles by 7 strokes from Australian Graham Marsh
- Jun 27 WLAF World Bowl 7, Rheinstadion, Düsseldorf: Frankfurt Galaxy beats Barcelona Dragons, 38-24
- Jun 30 NBA Draft: Duke power forward Elton Brand first pick by Chicago Bulls
Weddings in Sport
Deaths in Sport
- Jun 1 Mr. Prospector, American thoroughbred racehorse and breeding stallion (most influential sire of his generation), dies of complications from colic at 29
- Jun 6 Eddie Stanky, American baseball second baseman, manager (MLB All Star 1947, 48, 50), dies of a heart attack at 83
- Jun 14 Bernie Faloney, professional football player (b. 1932)
- Jun 26 Angelo Bertelli, American College Football Hall of Fame quarterback (Heisman Trophy 1943, National C'ship 1943, Notre Dame), dies of brain cancer at 78
- Jun 27 Marion Motley, American NFL fullback (all-time leading AAFC rusher), dies at 79