|Centuries:||13th century – 14th century – 15th century|
|Decades:||1330s 1340s 1350s – 1360s – 1370s 1380s 1390s|
|Years:||1358 1359 1360 – 1361 – 1362 1363 1364|
- Founding of the University of Pavia, Italy.
- The Hungarian capital is moved from Esztergom to Buda.
- In the Marinid Empire in present-day Morocco, Abu Salim Ibrahim is overthrown by Abu Umar. Abu Umar is then later in the year overthrown by Abu Zayyan.
- State of anarchy within the Blue Horde. Between 1361 and 1378, over 20 khans succeed each other in different parts of the Blue Horde's territory.
- Edward, the Black Prince, marries Joan, the 'Fair Maid of Kent'.
- February 26 – Wenceslaus, King of the Romans, King of Bohemia (died 1419)
- John Beaumont, 4th Baron Beaumont, Constable of Dover Castle (died 1396)
- March 24 – Henry of Grosmont, Duke of Lancaster, English soldier and diplomat
- June 9 – Philippe de Vitry, French composer (born 1291)
- June 15 – Johannes Tauler, German mystic theologian
- November 21 – Philip I, Duke of Burgundy (plague) (born 1346 – age 15)
- Giovanni (plague), son of Francesco Petrarch
- Richard Badew, Chancellor of Cambridge University
- John Beauchamp, 3rd Baron Beauchamp de Somerset, Warden of the Cinque Ports
- Reginald de Cobham, 1st Baron Cobham (born 1295)
- Jan z Melsztyna, Polish nobleman