The Year 345 (CCCXLV) was a common 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 Amantius and Albinus (or, less frequently, year 1098 Ab urbe condita). The denomination 345 for this year has been used ever since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.

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• Evagrius Ponticus, Christian monk and ascetic (d. 399)
• Afranius Syagrius, Roman politician and administrator
• Quintus Aurelius Symmachus, Roman consul and intellectual (d. 402)
• Tyrannius of Aquileia, historian and theologian (approximate date)

• February 4 – Abraham of Arbela, Persian bishop and martyr (approximate date)
• April 6
  • Abdecalas – Persian Orthodox priest and saint
  • Shemon Bar Sabbae – Persian Orthodox priest and saint
• June 16 – Patriarch Gregory of Cappadocia
• August 27 – Narnus, Roman Catholic bishop and saint
• November 20 – Abiatha, Hathes and Mamlacha, Syrian Orthodox priests, virgins, martyrs and saints