Police officers discovered the body of a newborn inside a freezer bag at a house in the southwestern city Louchats, near Bordeaux.
After searching the house, four more bodies of babies were reportedly found.
The 35 year old mother was taken to hospital, while the 40 year old father was taken into custody.
According to sources, the woman “gave birth at home alone”.
The couple reportedly have two daughters, aged 13 and 15.