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SkyCity spokesman Colin Espiner told the New Zealand Herald: "This tragic accident occurred while the family were in the SkyCity carpark after returning from a visit to the Sky Tower, our hearts go out to the family."
It is understood that the baby was aged between 1 and 3 months and suffered fatal injuries but that no vehicles were involved.
Police confirmed the infant died last night after being transported by ambulance to Starship children's hospital.
A police spokeswoman confirmed the death was not a criminal matter and said it would be referred to the Coroner.
Yesterday, a St John spokesperson said they received a call about the incident in Auckland's CBD shortly after 4.20pm.
"We sent two ambulances and a manager. We treated one patient in a critical condition and transported them to Starship Hospital," the spokesperson said.
Police confirmed they assisted ambulance staff at 5.39pm.