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|Centuries:||13th century – 14th century – 15th century|
|Decades:||1330s 1340s 1350s – 1360s – 1370s 1380s 1390s|
|Years:||1365 1366 1367 – 1368 – 1369 1370 1371|
|1368 by topic|
|State leaders - Sovereign states|
|Birth and death categories|
|Births - Deaths|
|Establishments and disestablishments categories|
|Establishments - Disestablishments|
|Art and literature|
|1368 in poetry|
|Ab urbe condita||2121|
|English Regnal year||41 Edw. 3 – 42 Edw. 3|
— to —戊申年十一月廿一日
|- Vikram Samvat||1424–1425|
|- Shaka Samvat||1290–1291|
|- Kali Yuga||4469–4470|
|- Ǹrí Ìgbò||368–369|
|Juche calendar||N/A (before 1912)|
|Julian calendar||1368 MCCCLXVIII|
|Minguo calendar||544 before ROC
|Thai solar calendar||1911|
|Wikimedia Commons has media related to: 1368|
- 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.
Date unknown 
- 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 eastern Russia) after the death of co-ruler and rival 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.
- February 14 – Sigismund, Holy Roman Emperor (d. 1437)
- December 3 – King Charles VI of France (d. 1422)
- March 29 – Emperor Go-Murakami of Japan (b. 1328)
- August 25 – Andrea Orcagna, Italian painter, sculptor, and architect
- October 17 – Lionel of Antwerp, 1st Duke of Clarence, son of Edward III of England (b. 1338)
- probable – Ibn Battuta, Arabian traveler