The Glasgow Southside MSP said the figures, published by the Office for National Statistics (ONS), "do not tell the full story."
Ms Sturgeon said: "For a start, additional analysis produced by the ONS give the unemployment rates for individuals across cities and regions of the whole of the UK, which show Glasgow in 20th place, behind many other major cities such as Birmingham, Manchester and Nottingham.
"The difference is partly explained by the fact Glasgow has a high number of households where people are not able to work because of disability, sickness or family circumstances.
"Add to this that Glasgow has a strong student population - younger people who will be entering work and contributing to the economy for decades to come - and you start to get a different picture.
"Around 20% of those recorded as living in workless households are actually students, compared to approximately 11% across Scotland as a whole.
"It would be perverse for this to be presented as a badge of failure."
Ms Sturgeon said the Scottish Government was doing all it could to support and stimulate the nation's economy.
And she added: "In Glasgow this year, we have invested more than £3million to help young people find work.
"Last year, we invested £8.7m on the Modern Apprentice scheme in Glasgow, helping more than 4000 people into training leading to a recognised qualification, learning while they earn.
"The Commonwealth Games will also provide opportunities in the east end of Glasgow with 1300 places for locals to participate in jobs schemes."