Different civilisations used different ways of counting and naming years.
The Roman Empire use this (from Wikipedia)
"Years
In the Roman Republic, the years were not counted. Instead they were named after the consuls who were in power at the beginning of the year (see List of Republican Roman Consuls). For example, 205 BC was The year of the consulship of Publius Cornelius Scipio Africanus and Publius Licinius Crassus. Lists of consuls were maintained in the fasti.
However, in the later Republic, historians and scholars began to count years from the founding of the city of Rome. Different scholars used different dates for this event. The date most widely used today is that calculated by Varro, 753 BC, but other systems varied by up to several decades. Dates given by this method are numbered ab urbe condita (meaning after the founding of the city, and abbreviated AUC). When reading ancient works using AUC dates, care must be taken to determine the epoch used by the author before translating the date into a Julian year.
The first day of the consular term, which was effectively the first day of the year, changed several times during Roman history. It became 1 January in 153 BC. Before then it was 15 March. Earlier changes are a little less certain. There is good reason to believe it was 1 May for most of the third century BC, till 222 BC. Livy mentions consulates starting on 1 July before then, and arguments exist for other dates at earlier times."