Figures from the Office for National Statistics (ONS) for the three months to June showed the unemployment rate was 8% of the economically active population, down 0.2% on the quarter.
There were a total of 2.56m unemployed people, down 46,000 on the quarter.
The employment rate for those aged from 16 to 64 was 71%, up 0.4% on the quarter.
Total pay (including bonuses) rose by 1.6% on a year earlier, up 0.1 on the three months to May 2012. Regular pay (excluding bonuses) rose by 1.8% on a year earlier, unchanged on the three months to May 2012.