- Jun 1 The railroads of the Southern United States convert 11,000 miles of track from a five foot rail gauge to standard gauge, beginning May 31
- Jun 3 24 Christians burn to death in Namgongo, Uganda
- Jun 5 20th Belmont: Jim McLaughlin aboard Inspector B wins in 2:41
- Jun 8 First Home Rule Bill for Ireland defeated by 343 votes to 313 in the British House of Common
- Jun 10 Eruption of Tarawera volcano destroys famous pink and white calcium carbonate hot-spring terraces (North Island, New Zealand)
- Jun 13 Fire destroys nearly 1,000 buildings in Vancouver, British Columbia