The Consumer Prices Index (CPI) rose by 1.6% in the year to December 2016, compared with a 1.2% rise in the year to November.
The rate in December was the highest since July 2014, when it was also 1.6%.
Price movements for the majority of the broad groups of goods and services acted to increase the rate between November 2016 and December 2016.
The main contributors to the increase in the rate were rises in air fares and the price of food, along with prices for motor fuels, which fell by less than they did a year ago.
CPIH (not a National Statistic) rose by 1.7% in the year to December 2016, up from 1.4% in November.