Eurostat also confirmed its earlier estimate that month-on-month prices in the 19 countries sharing the euro rose 0.3%.
The energy contribution to the year-on-year index changed from -0.33 percentage points in November to a positive 0.02 points in December, accounting for the difference between the November inflation rate of 1.0% and December's 1.3%.
The contributions of other major component of the index such as food, alcohol and tobacco, non-energy industrial goods and services were little changed from November.
The European Central Bank wants to keep inflation below, but close to 2.0 percent.
(Reporting by Jan Strupczewski; editing by Philip Blenkinsop)