- Jun 1 Glorious First of June; first naval battle between Britain (under Admiral Lord Howe) and France (Vice-Admiral Louis Thomas Villaret de Joyeuse) during French Revolutionary Wars. Britain gains tactical win.
- Jun 5 US Congress passes the Neutrality Act, banning Americans from serving in foreign armed forces
- Jun 10 Bethel African Methodist Episcopal Church in Philadelphia forms
- Jun 10 France revolutionary regime begins trials
- Jun 16 1st stone laid at biggest Dutch grain windmill De Walvisch in Schiedam
Russian History
Jun 23 Russian Empress Catherine II (Catherine the Great) grants Jews permission to settle in Kiev
Battle of Fleurus
Jun 26 Battle of Fleurus: major victory by forces of the First French Republic under General Jean-Baptiste Jourdan over the Coalition Army (Great Britain, Hanover, Dutch Republic, and Habsburgs) first use of reconnaissance balloon
- Jun 30 Seige of Fort Recovery, Ohio, Anglo American army holds off an attack on the fort by an Indian confederacy
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