The cost of living rose by 1.3 percent on a 12-month basis this month, compared with 1.4 percent in December, the federal statistics office Destatis said in a statement.
Using the Harmonised Index of Consumer Prices (HICP), the European Central Bank's inflation yardstick, inflation in Germany stood at 1.2 percent in January, the same rate as in December.
The ECB defines price stability as increases in the harmonised index of close to but just below 2.0 percent.
The final data confirm a preliminary flash estimate released on January 30.