The fire was first reported on the roof of the Redstone American Grill on the 500 block of West Germantown Pike around 6:30 p.m.
It took a half hour for crews to extinguish the fire.
All of the customers were safely evacuated.
Firefighters said the flames spread up through the exhaust system, but the exact cause is unclear.
The board of health needs to inspect the restaurant before it can reopen.
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