- Cassini observes differential rotation within Jupiter's atmosphere.
- January 6 - Joseph, son of Emperor Leopold I becomes King of the Romans
- January 14 - The clarinet is invented in Nuremberg, Germany
- May 20 - England passes Act of Grace, forgiving followers of James II
- July 1 - The Battle of the Boyne, in Ireland
- Earliest recorded sighting of the planet Uranus, by John Flamsteed, who mistakenly catalogued it as the star 34 Tauri
- October 6-12--Massachusetts Puritans led by Sir William Phips besiege the city of Quebec. The siege ends in failure.
- February 1 - Francesco Maria Veracini, composer
- March 18 - Christian Goldbach (Prussian mathematician)