2-year-old Yanire Izaga who suffered severe head injuries at Parliament View on Albert Embankment on Sunday died at St Thomas' Hospital on Tuesday evening.
On arrival police discovered 2-year-old Yanire Izaga suffering head injuries.
She was taken the short distance to St Thomas' Hospital where – after treatment in the intensive care unit of the Evelina Children's Hospital – she was pronounced dead at 6.30pm on Tuesday evening.
A police spokesman says that a post mortem and inquest will be scheduled in due course.
A 36-year-old man was arrested at the address and taken to a south London police station.
He was taken to a London hospital and sectioned under the Mental Health Act on Monday.
Officers from the Major Investigation Team of the Met's Child Abuse Command are investigating.