The Office for National Statistics said unemployment in London fell by 20,000 between March and May. The total figure of unemployed in the capital is 413,000.
A new study by the Trade Unions Congress has found in the capital, 6,500 young people aged between 18 and 24 have been out of work for more than 12 months.
Total youth unemployment has risen by 58% since the year 2000.
We've been speaking to Londoners Alex Kouam, Sophia Kichou and Claudette Shay from Centrepoint Parliament, who have struggled to find work.
There's been over a 400% increase in youth unemployment in London since April 2000, according to the latest TUC report. They say a number of factors including the recession have created the problem.
Youngsters unemployed for between 6 months to a year - has increased by 85 % since 2000.
Central London boroughs like Haringey, Lewisham and Hackney are among the worst places in the country for unemployment. A new study by the Trades Union Congress shows that there are up to 20 job-seekers per vacancy in some inner-city areas.
A Department for Work and Pensions spokesman said: "We know times are tough for jobseekers, which is why we have introduced the Work Programme which gives people tailored support that's right for them and will match people to the vacancies in their area.
"We have also announced that £1 billion will be spent over the next three years to provide young people with extra help."The Youth Contract will provide nearly half-a-million new opportunities for young people, including apprenticeships and work experience placements."