Police officer Maruf Wahla says the death toll could rise, since firefighters have not been able to enter all areas of the nine-storey building in the city of Lahore.
Local TV stations broadcast dramatic footage of people jumping from the Lahore Development Authority building as smoke poured from the windows. A crowd of horrified Pakistanis stood at the base of the building looking up.
Mr Wahla says the fire started with a spark from a generator. Many buildings in Pakistan have their own generators because of frequent power cuts.
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