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|Ab urbe condita||2117|
|Balinese saka calendar||1285–1286|
|English Regnal year||37 Edw. 3 – 38 Edw. 3|
|Chinese calendar||癸卯年 (Water Rabbit)|
4060 or 4000
— to —
甲辰年 (Wood Dragon)
4061 or 4001
|- Vikram Samvat||1420–1421|
|- Shaka Samvat||1285–1286|
|- Kali Yuga||4464–4465|
|Japanese calendar||Jōji 3|
|Minguo calendar||548 before ROC|
|Thai solar calendar||1906–1907|
1490 or 1109 or 337
— to —
1491 or 1110 or 338
|Wikimedia Commons has media related to 1364.|
- 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 the 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.
- Vladislav I (also known as Vlaicu-Vodă) becomes voivode of Wallachia.
- Bogdana Monastery is built in Moldavia.
- 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 establishes 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)
- date unknown
- April 8 – King John II of France (b. 1319)
- June 19 – Elisenda of Montcada, queen consort and regent of Aragon (b. 1292)
- June 30 – Arnošt 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)
- date unknown