Three fire crews were called to the scene in Summer Street just after 7pm.
Firefighters managed to stop the blaze spreading to nearby garages.
The cause is not yet known, a spokesman for West Midlands Fire Service said.
Stourbridge Fire Station tweeted saying: "Crews from Brierley Hill, Stourbridge and Haden Cross attended a garage fire in Kingswinford last night.
"Excellent work by the BA crew stopped the fire from spreading to the nearby lock ups."
Crews from @WMFSBrierleyH @WMFSStourbridge @WMFSHadenCross attended a garage fire in Kingswinford last night. Excellent work by the BA crew stopped the fire from spreading to the nearby lock ups. Video courtesy of Robby's Fine Cuisine, Kingswinford https://t.co/AzHR9erBIl pic.twitter.com/ezf3bc4k9A— Stourbridge Fire Station (@WMFSStourbridge) September 13, 2020
Jay Saeid, the owner of Robby's Fine Cuisine, said one of his delivery drivers thought the restaurant was on fire.
He said: "It was a full house, we were packed and all of a sudden my delivery driver called me and asked if the restaurant was on fire as he said he could see smoke.
"I ran upstairs and saw a fire that was growing and growing, then before I knew it there were firefighters and police.
"These things never happen in Kingswinford."