- Jun 11 Charles Duryea patents a gas-driven automobile
- 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 13 British Open Men's Golf, St Andrews: Englishman J.H. Taylor retains title; beats Sandy Herd of Scotland by 4 shots
- Jun 17 US Ship Canal (W 225th St) in the Bronx completed; cutting Marble Hill off from Manhattan
- Jun 20 1st 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
Historic Event
Jun 28 French painter Paul Gauguin leaves France for Tahiti for the second time
