|Centuries:||1st century BC – 1st century – 2nd century|
|Decades:||20s BC 10s BC 0s BC – 0s – 10s 20s 30s|
|Years:||2 BC 1 BC 1 AD – 2 AD – 3 AD 4 AD 5 AD|
|2 by topic|
|State leaders – Sovereign states|
|Birth and death categories|
|Births – Deaths|
|Establishment and disestablishment categories|
|Establishments – Disestablishments|
|Ab urbe condita||755|
|Chinese calendar||辛酉年 (Metal Rooster)
2698 or 2638
— to —
壬戌年 (Water Dog)
2699 or 2639
|Coptic calendar||−282 – −281|
|Ethiopian calendar||−6 – −5|
|- Vikram Samvat||58–59|
|- Shaka Samvat||N/A|
|- Kali Yuga||3103–3104|
|Iranian calendar||620 BP – 619 BP|
|Islamic calendar||639 BH – 638 BH|
|Minguo calendar||1910 before ROC
|Seleucid era||313/314 AG|
|Thai solar calendar||544–545|
Year 2 (II) was a common year starting on Sunday or Monday (link will display the full calendar) of the Julian calendar (the sources differ, see leap year error for further information) and a common year starting on Sunday of the proleptic Julian calendar. At the time, it was known as the Year of the Consulship of Vinicius and Varus (or, less frequently, year 755 Ab urbe condita). The denomination 2 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.
- Following the death of Lucius Caesar, Livia Drusilla persuades Augustus to allow her son Tiberius back into Rome as a private citizen, after six years in enforced retirement on Rhodes.
- Gaius Caesar meets with Phraates V, the king of Parthia on the Euphrates. Rather than invade, Gaius Caesar concludes peace with the Parthians—Parthia recognizes Roman claims to Armenia.
- Publius Alfenus Varus and Publius Vinicius become Roman Consuls.
- Cedeides becomes Archon of Athens.
- Juba II of Mauretania joins Gaius Caesar in Armenia as a military advisor. It is during this period that he meets Glaphyra, a Cappadocian princess and the former wife of Alexandros of Judea, a brother of Herod Archelaus, ethnarch of Judea, and falls for her.
- Wang Mang begins a program of personal aggrandizement, restoring marquess titles to past imperial princes and introducing a pension system for retired officials. Restrictions are placed on the Emperor's mother, Consort Wei and members of the Wei Clan.
- The first census is concluded in China after having begun the year before: final numbers show a population of nearly 60 million (59,594,978 people in slightly more than 12 million households). The census is one of the most accurate surveys in Chinese history.
- The Chinese census shows nearly one million people living in Vietnam.
- Lucius Caesar, son of Marcus Vipsanius Agrippa and Julia the Elder, and heir to the throne (in Gaul) (b. 17 BC)
- Klingaman 1990, p. 56.