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.

H.H. Sheikh Hamdan approves Dubai Metro extension to Al Maktoum Airport
UAE President highlights nation's resilience during 'recent challenges'
H.H. Sheikh Khaled approves second package of Emirati Family Growth Programme
Sheikh Abdullah attends third round of Russia-Ukraine-US trilateral talks
H.H. Sheikh Mohammed directs tents for 50,000 Gazans facing harsh weather
UAE postpones vehicle licensing limit for residents
New pedestrian bridge links Dubai Mall Metro Station and Coca-Cola Arena
High-achieving Union teams honoured at UAE Government Annual Meetings
Al Gergawi: UAE accelerates development with over AED 4 trillion in projects
Abu Dhabi launches lifestyle programme to help citizens get healthier
5 Esaad cards up for grabs in Dubai Police's 5-week traffic contest
Nominations open for Aster Guardians Global Nursing Award
Dubai Police warns against using phones while driving after four-way crash
RTA opens 1,650-metre Al Khaleej Street Tunnel
Sharjah Ruler allocates AED 4.5 million to stock libraries with book fair collection
UAE expresses solidarity with Egypt over train collision
UAE President sends Diwali greetings in special message
UAE National Guard rescues 22 from cargo ship fire in Sea of Oman
