Last month's rate came in at 7.8%, down from 8.1% in August.
The latest data also showed that the US economy added a further 114,000 jobs in September, slightly more than markets had expected.
The US jobs market is a key issue in the presidential election race.
Economist Sean Incremona of New York-based company 4Cast said the latest data showed that the US economy remained subdued.
"Generally, we are still seeing a mixed underlying picture that is neither too impressive nor terrible," he said.
September's unemployment rate was the lowest since January 2009.
The data also showed that the construction sector added 5,000 jobs last month, while the number of people working in government jobs rose by 10,000.
Separate official figures released at the end of last month revised down how much the US economy expanded between April and June.
Gross domestic product (GDP) in the second quarter grew at an annual rate of 1.3%, down from the previous estimate of 1.7%, said the Commerce Department.
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