|Covid-19|February 15 – Joint kings Magnus Eriksson and Haakon Magnusson of Sweden are both deposed by noblemen, who instead elect Magnus's nephew Albrekt of Mecklenburg new king of Sweden.
April 8 – Charles V becomes King of France.
May 12 – The Jagiellonian University is founded in Kraków.
July 28 – Battle of Cascina: Forces of the Republic of Florence led by Galeotto Malatesta defeat those of Pisa.
September 10 – Philip of Anjou becomes Titular Emperor of Constantinople and Prince of Taranto.
September 29 – Battle of Auray: The Breton War of Succession ends with the victory of the House of Montfort over Charles of Blois.
Rana Kshetra Singh succeeds Rana Hamir Singh as ruler of Mewar (part of modern-day western India).
Anavema Reddy succeeds Anavota Reddy as ruler of the Reddy Dynasty in Andhra Pradesh (part of modern-day southern India).
The Ava Dynasty establish rule in modern-day northern Burma.
November 30 – John FitzAlan, 2nd Baron Arundel, English soldier (d. 1390)
December 16 – Emperor Manuel III of Trebizond (d. 1417)
Charles II, Duke of Lorraine (d. 1431)
Gyaltsab Je, first throne holder of the Gelug tradition of Buddhism (d. 1432)
Qāḍī Zāda al-Rūmī, Persian mathematician (d. 1436)
April 8 – King John II of France (b. 1319)
June 30 – Arnost of Pardubice, Archbishop of Prague (b. 1297)
August 5 – Emperor Kōgon of Japan (b. 1313)
September 10 – Robert of Taranto
September 29 – Charles I, Duke of Brittany (b. 1319)
Gajah Mada, prime minister of the Majapahit empire
King Valdemar III of Denmark (b. 1314)
Year 1364 (MCCCLXIV) was a leap year starting on Monday (link will display the full calendar) of the Julian calendar.