The figures do not fully conform to the EU-harmonised Labour Force Survey as the data omit certain groups of unemployed people.
The number of people registered as unemployed stood at 288,000 during July, compared to 327,000 in July 2005, while employment amounted to 4.54 million, up from 4.43 million in June.
The Swedish government, due to face parliamentary elections on September 17, has a target unemployment rate of below four percent.
The fall in July was largely accounted for by young people taking temporary summer jobs, Statistics Sweden said.
The figure for the number of people in work includes peopls in government job creation schemes. The number of people in these schemes was 122,000 in July, down from 130,000 in June, but up by 21,000 on July 2005.
A further 128,000 people said they wanted and were able to work, but either had not sought a job in the past four weeks or were studying whilst actively seeking and able to accept work.