- Jun 1 The first pay telephone service in the United States is installed in New Haven, Connecticut
- Jun 1 US census is 50,155,783
- Jun 7 War of the Pacific: The Battle of Arica, assault and capture of Morro de Arica (Arica Cape), that ended the Campaña del Desierto (Desert Campaign).
Event of Interest
Jun 8 Russian writer Fyodor Dostoyevsky delivers an emotional speech at the unveiling of a monument to Pushkin in Moscow
Fyodor Dostoyevsky
- Jun 10 Charlie Jones becomes 1st to hit 2 HRs in 1 inning
- Jun 12 Worcester Ruby Legs pitcher Lee Richmond throws first perfect game in MLB history in 1-0 win over Cleveland Blues at the Agricultural County Fair Grounds, Worcester
- Jun 14 14th Belmont: L Hughes aboard Grenada wins in 2:47
- Jun 16 Salvation Army forms in London
- Jun 17 Providence Grays MLB pitcher John M. Ward throws a perfect game beating the Buffalo Bisons, 5-0; second perfect game in National League in 6 days; next one takes 84 years
- Jun 24 First performance of "O Canada," the song that would become the national anthem of Canada, at the Congrès national des Canadiens-Français
- Jun 29 France annexes Otaheite (Tahiti)