The person was found in the apartment where the fire probably started, the police write on their website.
A man in his 35s and a woman in her 70s are being treated at the hospital with minor injuries according to Region Skåne.
The alarm about the fire in the apartment on the seventh floor came at 03:00 towards Monday. Just over three hours later, the fire was largely extinguished.
Several people in other apartments were evacuated from the building in connection with the fire.
