The number of 16 to 24 year-olds out of work was 952,000 in the three months to October, a quarterly rise of 6,000 and the highest figure since records began in 1992.
Total unemployment increased by 21,000 to 2.49 million, the highest level since early 1995, although the quarterly rise was the smallest for 18 months.
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The UK's unemployment rate has now reached a 13-year high of 7.9 per cent.
The number of people in work increased by 53,000 to almost 29 million, although the figure is 432,000 lower than a year ago.
There were 30 million jobs in the economy in September, down by 127,000 over the quarter and 649,000 fewer than a year ago.
The number of people classed as economically inactive, including those on long-term sickness or who have given up looking for a job, was 7.9 million, down by 1,000 over the three months but up by 96,000 compared to last year.
More than one in five working-age people are now economically inactive.
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