"The claimant count measure of unemployment in June posted its smallest rise in a year. However, the wider ILO measure posted its biggest rise on record," said Ms Redwood.
But, she said, unemployment was unlikely to fall until economic growth returned to its trend rate, and this would take a long time.
Of the different figures released, it is the internationally recognised ILO figure of 2.38 million that is the government's preferred measure for unemployment, because it is a more comprehensive indicator of the job market.
The Chartered Institute of Personnel and Development has called for an enquiry into this "conundrum" of the differing figures.
Average UK earnings including bonuses increased at their highest rate since December, up 2.3% in the three months to May from a year ago.
However, excluding bonuses average earnings rose at 2.6% - the lowest rate since records started in 2001.
David Kern, chief economist at the British Chambers of Commerce described the figures as "grim reading".
"On the basis of these numbers, we reaffirm our forecast that unemployment will peak at around 3.2 million next year."
It's interesting to note that number of part-time jobs has risen slightly in the past year, as the number of full-time jobs has fallen
Manufacturing jobs kept declining, down by 201,000 to a record low of 2.6 million.
Urgent action is needed to address unemployment, explained Rachel Reeves, parliamentary candidate for West Leeds and a co-author of a report published on Wednesday by the Institute for Public Policy Research.
"If we are to get Britain back to work, there will have to be large increases in the jobs available in hi-tech manufacturing and private service sectors such as the creative industries."
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