Satsumasendai, a town of 100,000 that hosts the two-reactor Kyushu Electric Power Co plant, is 1,000 km (600 miles) southwest of Tokyo and has long relied on the Sendai plant for government subsidies and jobs.
Nineteen of the city's 26 assembly members voted in favor of restarting the plant while four members voted against and three abstained, a city assembly member told Reuters.
The restart of Japan's first reactors to receive clearance to restart under new rules imposed since Fukushima is unlikely until next year as Kyushu Electric still needs to pass operational safety checks.
All 48 of the country's nuclear reactors were gradually taken offline following Fukushima, the world's worst nuclear disaster since Chernobyl in 1986.
An earthquake and tsunami struck the Fukushima Daiichi plant, 220 km (130 miles) northeast of Tokyo, sparking triple nuclear meltdowns, forcing more than 160,000 residents to flee from nearby towns and contaminating water, food and air.
Japan has been forced to import expensive fossil fuels to replace atomic power, which previously supplied around 30 percent of the country's electricity, Reuters reported.
Prime Minister Shinzo Abe's government is pushing to restart nuclear reactors, but has said he will defer to local authorities to approve a policy that is still unpopular with large swaths of the public.