Year 1368 (MCCCLXVIII) was a leap year starting on Saturday (link will display the full calendar) of the Julian calendar.
January 23 – The Hongwu Emperor (Zhu Yuanzhang) establishes the Ming Dynasty in China after the disintegration of the Mongol Yuan Dynasty. He immediately orders every county magistrate to set up four granaries, and halts government taxation on books.
March 29 – Emperor Chōkei accedes to the throne of Japan.
Durrës, the second-largest city in present-day Albania (and then known as Dyrrhachium), is captured from the Angevins by Karl Thopia, a powerful feudal prince and warlord.
Timur ascends the throne of Samarkand (now in Uzbekistan).
Work begins on the current Great Wall of China.
Mikhail Aleksandrovich becomes the sole ruler of Tver (now in western Russia) after the death of co-ruler and rival Vasiliy Mikhailovich of Kashin.
Moscow attacks Tver, which counter-attacks with the aid of Lithuania and the Blue Horde.
The King of Norway sends the last Royal Ship from Norway to the Greenland Eastern Settlement. This event is part of both the Norse colonization of the Americas and of the History of Greenland.
Peace treaty between Norway and the Hanseatic League.
The Bibliothèque nationale de France (National Library of France) is founded as the Royal Library at the Louvre Palace in Paris by Charles V of France.
Petrarch concludes writing the sequence of Italian sonnets and other poems known as Il Canzoniere.
February 14 – Sigismund, Holy Roman Emperor (d. 1437)
December 3 – King Charles VI of France (d. 1422)
probable
Louis VII, Duke of Bavaria (d. 1447)
Pope Martin V (d. 1431)
Thomas Hoccleve, English poet (d. 1426)
March 29 – Emperor Go-Murakami of Japan (b. 1328)
August 25 – Andrea Orcagna, Italian painter, sculptor, and architect
September 12 – Blanche of Lancaster, wife of John of Gaunt (b. 1345)
October 7 – Lionel of Antwerp, 1st Duke of Clarence, son of Edward III of England (b. 1338)
probable – Ibn Battuta, Arabian traveler
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