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|368 by topic|
|Ab urbe condita||1121|
|Balinese saka calendar||289–290|
|Chinese calendar||丁卯年 (Fire Rabbit)|
3064 or 3004
— to —
戊辰年 (Earth Dragon)
3065 or 3005
|- Vikram Samvat||424–425|
|- Shaka Samvat||289–290|
|- Kali Yuga||3468–3469|
|Iranian calendar||254 BP – 253 BP|
|Islamic calendar||262 BH – 261 BH|
|Minguo calendar||1544 before ROC|
|Seleucid era||679/680 AG|
|Thai solar calendar||910–911|
494 or 113 or −659
— to —
495 or 114 or −658
Year 368 (CCCLXVIII) was a leap year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Augustus and Valens (or, less frequently, year 1121 Ab urbe condita). The denomination 368 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.
- Spring – Emperor Valentinian I and his 8-year-old son, Gratian, cross the Rhine with an army into Alamannic territory. He defeats the Alemanni and burns food stores along the border. A temporary peace is signed with Macrian, king of the Bucinobantes, and Valentinian returns to his capital Augusta Treverorum (modern Trier).
- Great Conspiracy: Picts, Scotti and Saxons reach Roman London and plunder the city. Theodosius, a general (Comes Britanniarum), is sent with a relief force to Britannia. He marches from Richborough, Kent, to deal with the invaders.
- Winter – The barbarians are driven back to their homelands, the Hadrian's Wall is retaken and order returns to the Roman diocese. Theodosius reorganises the abandoned forts and mounts punitive expeditions in Hibernia (Ireland).
- Eustochium, Desert Mother and Saint (approximate date)
- Juqu Mengxun, prince of the Xiongnu state Northern Liang (d. 433)
- Philostorgius, Anomoean church historian