- Jun 4 Oil City and Titusville, Pennsylvania, destroyed by oil tank explosion; 130 die
- Jun 6 Chicago South Side Elevated Railroad opens (1st 3.6 miles)
- Jun 7 Creole shoemaker Homer Plessy buys whites-only train ticket in New Orleans in act of civil disobedience - results in landmark U.S. Supreme Court case Plessy v. Ferguson (1896)
- Jun 7 John J. Doyle of Clev Spiders is 1st to pinch hit in a baseball game
- Jun 7 Republican convention in Minneapolis begins
- Jun 8 US shoemaker Homer A. Plessy refuses to go to in a segregated RR car (US Supreme Court Plessy v Ferguson)
- Jun 9 26th Belmont: W Hayward aboard Patron wins in 2:12
- Jun 10 Baltimore catcher Wilbert Robinson sets MLB record by going 7-for-7 in a 9-inning game; Orioles rout St. Louis Cardinals, 25-4 at Oriole Park
- Jun 11 The Limelight Department, one of the world's first film studios, is officially established in Melbourne, Australia
- Jun 12 Netherlands Society for Currency & Coin collecting forms
- Jun 18 Brothers Edward and Robert Jordan plant 1st Macadamia nuts in Oahu, Hawaii
- Jun 23 Chicago's 'The Inter Ocean' launches 1st US newspaper color supplement
- Jun 25 US National Championship Women's Tennis, Philadelphia Cricket Club: Defending champion Mabel Cahill beats Elisabeth Moore 5-7, 6-3, 6-4, 4-6, 6-2
- Jun 28 Phillies tie club record of 16 straight victories
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