A baby, believed to be about two weeks old, was found wrapped in a green towel in an abandoned plastic bag outside the Melomed Hospital in Bellville on Tuesday.
"The baby was then taken into the hospital and the staff medically examined, bathed, fed and treated the baby," said spokesperson Shameema Adams.
The Department of Social Development has been informed - and the baby's picture is being circulated by the Pink Ladies, who try to reunite families or help find missing people.
In the meantime, the tiny tot is being cared for in the hospital's paediatric unit.
"The age of the baby still to be confirmed, but she is doing well and loved by the staff," said Adams.