| Centuries: | 6th century · 7th century · 8th century |
| Decades: | 630s 640s 650s 660s 670s 680s 690s |
| Years: | 665 666 667 668 669 670 671 |
| 668 by topic | |
| Politics | |
| State leaders - Sovereign states | |
| Birth and death categories | |
| Births - Deaths | |
| Establishment and disestablishment categories | |
| Establishments - Disestablishments | |
| Gregorian calendar | 668 DCLXVIII |
| Ab urbe condita | 1421 |
| Armenian calendar | 117 ԹՎ ՃԺԷ |
| Bahá'í calendar | -1176 – -1175 |
| Berber calendar | 1618 |
| Buddhist calendar | 1212 |
| Burmese calendar | 30 |
| Byzantine calendar | 6176 – 6177 |
| Chinese calendar | 丁卯年十二月十二日 (3304/3364-12-12) — to —
戊辰年十一月廿三日(3305/3365-11-23) |
| Coptic calendar | 384 – 385 |
| Ethiopian calendar | 660 – 661 |
| Hebrew calendar | 4428 – 4429 |
| Hindu calendars | |
| - Vikram Samvat | 723 – 724 |
| - Shaka Samvat | 590 – 591 |
| - Kali Yuga | 3769 – 3770 |
| Holocene calendar | 10668 |
| Iranian calendar | 46 – 47 |
| Islamic calendar | 47 – 48 |
| Japanese calendar | |
| Korean calendar | 3001 |
| Thai solar calendar | 1211 |
Events
By Place
Europe
- Childeric II succeeds Clotaire III as King of the Franks.
- Kotrag leads Khazars in overthrowing his brother Batbayan who moves south into caucasus with his Balkars, Asparukh moves into Moesia, while the remaining two sons of Kubrat move into Pannonian and ultimately also Keramissian plains.
Byzantine Empire
- September 15 — Eastern Roman Emperor Constans II is assassinated in his bath at Syracuse, Italy.
- Mezezius is proclaimed Emperor by the army in Syracuse in the absence of the sons of Constans II.
- Constantine IV, son of Constans II, becomes Byzantine Emperor, succeeding Constans II. He organizes an expedition to kill the usurper Mezezius.
Africa
- Arab forces conquer the Garamantes.
Asia
- The ancient Korean kingdom of Goguryeo, in southern Manchuria and northern Korea, is overthrown by the alliance of Tang China and Silla.
- The Emperor of Japan hunts on the Moor of Ōmi-Gamōno. The letters exchanged between Prince Ōama and Princess Nukata are recorded in Man'yōshū.
By Topic
Religion
Births
Deaths
- Constans II, Byzantine Emperor (assassinated)
- Zhiyan
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