Strong winds helped the blaze to spread across the 336.1m (1,105ft) high building in the marina district.
It is not known what caused the blaze at the Torch Tower. Hundreds of people were evacuated and there are no reports of any casualties.
Footage posted on social media showed what looked like molten glass and pieces of masonry falling down.
The 79-storey Torch Tower skyscraper opened in 2011.
In 2012, a fire swept through Dubai’s 34-storey Tamweel Tower.
No-one was injured in that incident but hundreds of residents were left homeless after the blaze, started reportedly by a cigarette butt.
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