February 9 - Vasily Zhukovsky, Russian poet (d. 1852)
April 3 - Washington Irving, American author (d. 1859)
July 24 - Simón Bolívar, South American liberator (d. 1830)
August 9 - Grand Duchess Alexandra Pavlovna of Russia, (d. 1801)
Deaths
February 6 - Capability Brown, English landscape gardener (b. 1716)
March 30 - William Hunter, Scottish anatomist (b. 1718)
September 6 - Bertinazzi, Italian actor and writer (b. 1710)
November 22 - John Hanson, American Continental Congressman (b. 1715)
December 16 - Johann A. Hasse, German composer (b. 1699)
December 20 - Antonio Soler, Spanish composer (b. 1729)
Events
January 20 - The Kingdom of Great Britain signs a peace treaty with France and Spain, officially ending hostilities in the Revolutionary War.
February 3 - American Revolutionary War: Spain recognizes United States independence.
March 15 - In an emotional speech in Newburgh, New York, George Washington asks his officers not to support the Newburgh Conspiracy. The plea is successful and the threatened coup d'etat never takes place.
April 15 - Preliminary articles of peace ending Revolutionary War ratified.
April 18 - Fighting ceases in the American Revolution, eight years to the day since it began.
May 18 - First United Empire Loyalists reach Parrtown, Saint John, New Brunswick, Canada after leaving the United States.
June 4 - The Montgolfier brothers publicly demonstrate their montgolfière (hot air balloon).
June 8 - The volcano Laki, in Iceland, begins an eight-month eruption which kills over 9,000 people and starts a seven-year famine.
June 22 - Poisonous cloud from Laki volcanic eruption in Iceland reaches Le Havre in France.
August 3 - Mount Asama erupts in Japan, killing 35,000 people.
September 3 - American Revolutionary War: The war ends with the signing of the Treaty of Paris by the United States and the Kingdom of Great Britain. America is officially free from Britain
September 26 - Fayette County, Pennsylvania is created.
November 2 - In Rocky Hill, New Jersey, US General George Washington gives his "Farewell Address to the Army".
November 3 - John Austin, a highwayman, is the last person to be publicly hanged at London's Tyburn gallows.
November 3 - The American Continental Army is disbanded.
November 4 - W.A. Mozart's Symphony No. 36 receives its première performance in Linz, Austria.
November 21 - In Paris, Jean-François Pilâtre de Rozier and François Laurent, Marquis d'Arlandes, make the first untethered hot air balloon flight.
November 25 - American Revolutionary War: The last British troops leave New York City three months after the signing of the Treaty of Paris.
December 4 - At Fraunces Tavern in New York City, US General George Washington formally bids his officers farewell.