The building is located in Jumeriah Lake Towers in the south of Dubai. The area has both apartments, offices and shops.
As the fire spread through the skyscraper fled the residents out on the street - some wearing only pajamas, reports the news agency AP.
Police in Dubai say that they quickly gained control of the fire and that no people were injured. In contrast to hundreds of apartments in the building have been destroyed.
According to AP, the incident add to the debate on fire safety in the country, where many people live in high-rise.