The Consumer Prices Index (CPI) rose by 1.0% in the year to September 2016, compared with a 0.6% rise in the year to August.
The rate in September 2016 was the highest since November 2014, when it was also 1.0%.
The main upward contributors to change in the rate were rising prices for clothing, overnight hotel stays and motor fuels, and prices for gas, which were unchanged, having fallen a year ago.
These upward pressures were partially offset by a fall in air fares and food prices.
CPIH (not a National Statistic) rose by 1.2% in the year to September 2016, up from 0.9% in August.
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