"People are feared to have been trapped under the debris," the Brihanmumbai Municipal Corporation (BMC) officer said.
The building known as 'Altaf' is located on Cadell Road.
The deceased has been identified as Zaibunissa Abdul Sattar Laakha, the official said, adding rescue operations are still on.
The injured have been shifted to Bhabha Hospital in suburban Bandra, KEM and at Sion Hospital.