- Jun 11 Charles Duryea patents a gas-driven automobile
- Jun 13 British Open Men's Golf, St Andrews: Englishman J.H. Taylor retains title; beats Sandy Herd of Scotland by 4 shots
- Jun 13 Emile Levassor wins the first automobile race in history the Paris-Bordeaux-Paris, taking 48 hours and 48 minutes (1,178 km)
- Jun 17 US Ship Canal (W 225th St) in the Bronx completed; cutting Marble Hill off from Manhattan
- Jun 20 First female PhD from an American University, earned by Caroline Willard Baldwin (in Science) at Cornell University
- Jun 20 Nicaragua, El Salvador and Honduras form a short-lived confederation
- Jun 21 British Earl of Rosebery's Liberal Party government falls
- Jun 28 El Salvador, Honduras and Nicaragua form Central American Union
Gauguin Leaves for Tahiti
Jun 28 Painter Paul Gauguin leaves France for Tahiti for the second time and never sees France again
- Jun 29 Doukhobors burn their weapons as a protest against conscription by the Tsarist Russian government.
- Jun 29 US National Championship Women's Tennis: Juliette Atkinson beats defending champion Helen Hellwig 6-4, 6-2, 6-1
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