The ONS said 1.85 million people were unemployed in the March-to-May period, an increase of 15,000 from the previous quarter, with the jobless rate at 5.6%.
The ONS also showed that the pace of pay rises continued to pick up.
Average weekly earnings including bonuses rose at an annual pace of 3.2% in the latest three-month period, the fastest rate in five years.
Pay excluding bonuses rose by 2.8%, which was the highest pace since February 2009.
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