UK unemployment fell by 132,000 to 2.08 million in the three months to June, official figures show.
The Office for National Statistics said the unemployment rate also fell to 6.4% in the quarter, down from 6.5% in May.
It means the unemployment rate is at its lowest level for nearly six years.
But average wages including bonuses fell 0.2% in the year to June. Excluding bonuses wages rose by just 0.6% in the year, the lowest rise on record.
The ONS said average wage rises were affected by an unusually high number of employees deferring bonus payments until after the top rate of tax was cut from 50p to 45p last year which skewed year on year comparisons.
The number of people claiming Jobseekers Allowance fell for the 21st month in a row in June, by 33,600 to 1.01 million.
If the claimant count falls again in September it will fall below 1 million for the first time since September 2008.