UK unemployment stood at 1.85 million in the April to June period, up 25,000 from the previous quarter.
The jobless total had also risen in the three months to May, and it is the first time in two years that there have been two consecutive rises.
The Office for National Statistics (ONS) figures also indicated that earnings growth is slowing. Earnings including bonuses rose 2.4% from a year ago, compared with 3.2% growth in the March to May period. Excluding bonuses, pay was up 2.8% in the April to June period, unchanged from the previous figure.