The fire erupted on the second and third floors of Jesco supermarket in Al Baraha.
Dubai Civil Defence says firefighters rescued three people who were trapped in the building, after the fire erupted at 11:33 am on Saturday.
It was brought under control by 12:11 pm by rescuers from Al Ras and Al Hamriyah fire stations.
No injuries have been reported.

UAE waives overstay fines for those affected by airspace closure
flydubai resumes scheduled operations
UAE condemns Iranian attack on Turkey
Beware of fake emails offering support or insurance
