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|Ab urbe condita||2144|
|Balinese saka calendar||1312–1313|
|English Regnal year||14 Ric. 2 – 15 Ric. 2|
|Chinese calendar||庚午年 (Metal Horse)|
4087 or 4027
— to —
辛未年 (Metal Goat)
4088 or 4028
|- Vikram Samvat||1447–1448|
|- Shaka Samvat||1312–1313|
|- Kali Yuga||4491–4492|
|Japanese calendar||Meitoku 2|
|Minguo calendar||521 before ROC|
|Thai solar calendar||1933–1934|
1517 or 1136 or 364
— to —
1518 or 1137 or 365
|Wikimedia Commons has media related to 1391.|
- June 6 – Anti-Jewish pogroms erupt in Seville, Spain. Many thousands of Jews are massacred, and the violence spreads throughout Spain and Portugal.
- July 18 – Tokhtamysh–Timur war: Battle of the Kondurcha River – Timur defeats Tokhtamysh of the Golden Horde, in present day southeast Russia.
- August 5 – Anti-Jewish riots spread to Toledo, Spain and Barcelona. Many Jews leave Barcelona after the following massacres, though a large number remain in the city.
- Manuel II Palaiologos becomes Byzantine emperor after his father, John V Palaiologos, dies of a nervous breakdown, due to his continued humiliation by the Ottoman Empire.
- Yusuf II succeeds Muhammed V, as Nasrid Sultan of Granada (now southern Spain).
- Stephen Dabiša succeeds Stephen Tvrtko I, as King of Bosnia.
- Shah Mansur becomes leader of the Timurid-occupied Muzaffarid Empire, in central Persia.
- A group of Muzaffarids under Zafar Khan Muzaffar establish a new Sultanate at Gujarat, in western India.
- Vytautas the Great, claimant to the throne of Lithuania, forms an alliance with Muscovy.
- Roman I succeeds Petru, as Prince of Moldavia (now Moldova and north-eastern Romania).
- Konrad von Wallenrode succeeds Konrad Zöllner von Rotenstein, as Grand Master of the Teutonic Knights.
- Bridget of Sweden is canonized by Pope Boniface IX.
- Ushkuinik pirates from Novgorod sack the Muscovy towns of Zhukotin and Kazan.
- The Chinese invent toilet paper for use by their emperors.
- Henry I Sinclair, Earl of Orkney, takes control of the Shetland Islands and the Faroe Islands.
- The University of Ferrara is founded on the Italian Peninsula.
- The Ming government orders 50 million trees planted in the Nanjing area.
- October 31 – Edward, King of Portugal (d. 1438)
- November 6 – Edmund Mortimer, 5th Earl of March, English politician (d. 1425)
- Gedun Drub, 1st Dalai Lama (d. 1474)
- Joan of France, Duchess of Brittany (d. 1433)
- Thomas West, 2nd Baron West (d. 1415)
- January 16 – Emir Muhammed V of Granada (b. 1338)
- February 16 – John V Palaiologos, Byzantine emperor (b. 1332)
- March 10 – King Tvrtko I of Bosnia (b. 1338)
- November 1 – Amadeus VII, Count of Savoy (b. 1360)
- Gaston III, Count of Foix, co-prince of Andorra
- date unknown