The rising cost of foreign package holidays and imported computer games helped to push the UK inflation rate up to 2.9% last month from 2.7% in April.
The latest inflation rate is the highest since June 2013, and above the Bank of England's 2% target.
The Office for National Statistics said the price of food and clothing also went up slightly but fuel costs fell for a third month in a row.
The pick-up in inflation is likely to continue the squeeze on consumers.
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