- Jun 3 The Canadian Pacific Railway is completed from coast to coast
- Jun 4 Boston Beaneaters MLB pitcher John Clarkson is first to throw an "immaculate inning" (strikes out 3 batters on 9 pitches) in a 4-2 win over Philadelphia Quakers at South End Grounds
- Jun 6 Great Fire in Seattle destroys 25 downtown blocks
- Jun 12 88 people are killed in the Armagh rail disaster, Ireland
- Jun 13 2' of snow accumulates in Rawlins, Wyoming
- Jun 13 23rd Belmont: W Hayward aboard Eric wins in 2:47.25
- Jun 15 US National Championship Women's Tennis, Philadelphia Cricket Club: Defending champion Bertha Townsend beats Lida Voorhees 7-5, 6-2
- Jun 22 Louisville Colonels set ML baseball record with 26th consecutive loss
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