- Jun 2 William Lawson, English born explorer of New South Wales, Australia, born in Finchley, England (d. 1850)
- Jun 21 Daniel D. Tompkins, American politician, 6th US Vice President (1817-25), born in Scarsdale, New York (d. 1825)
- Jun 23 Matthijs Siegenbeek, Dutch linguist (set out official Dutch spelling), born in Amsterdam, Dutch Republic (d. 1854)
- Jun 24 François-Nicolas-Benoît Haxo, French Army general, born in Lunéville, France (d. 1838)