According to government statistics, 371,200 people were unemployed last month, a drop of 0.7 percent compared with the same month last year.
The figures suggest that 7.8 percent of Sweden's workforce was looking for a job in September.
Officials say that the trend is nationwide and not just in Sweden's big towns and cities.
They also note that increasing numbers of women are returning to the work.
"We see that unemployment is falling across the country," writes Employment Service Analysis Manager Mats Wadman.
"We also note that the number of registered unemployed women has decreased more than the number of registered unemployed men".
He said the difference was down to Sweden's strong and growing service industries, compared with more traditional male dominated industries in Sweden.