- Jun 1 Cricket test debut of Wilfred Rhodes & Victor Trumper in Grace's last
- Jun 2 Black Americans observed day of fasting in protest against lynchings
- Jun 3 W G Grace's last day of Test cricket aged 50 yrs 320 days
- Jun 5 Alfred Dreyfus acquitted
- Jun 8 39th British Golf Open: Harry Vardon shoots a 310 at Royal St George's Golf Club
Boxing Title Fight
Jun 9 James J. Jeffries KOs Bob Fitzsimmons in 11 for heavyweight boxing title
James J. Jeffries
- Jun 10 Improved Benevolent & Protective Order of Elks forms in Cincinnati
- Jun 12 New Richmond Tornado: the eighth deadliest tornado in U.S. history kills 117 peoples and injures around 200
- Jun 16 Victor Trumper's 1st Test Cricket century 135* v England, Lord's
- Jun 24 13th U.S. Women's National Championship: Marion Jones beats Maud Banks (6-1, 6-1, 7-5)
Tennis Open
Jun 27 16th Wimbledon Women's Tennis: Blanche Bingley beats Charlotte Cooper (6-2 6-3)
Charlotte Cooper