- Jun 4 4th Belmont: W Dick aboard Kingfisher wins in 2:59.5
- Jun 5 Great Fire of Pera in a district of Constantinople, the wealthiest part of the city, kills hundreds
Meeting of Interest
Jun 9 US President Ulysses S. Grant meets with Sioux Chief Red Cloud at The White House in Washington, D.C.
Music Premiere
Jun 26 Richard Wagner's opera "Valkyrie", second in his Ring Cycle premieres in Munich, featuring "Ride of the Valkyries"