The woman identified as Sarah Mwelwa admitted to the bizarre murder after killing and cooking her own child and justified her action.
Sarah later buried the head and intestines of her offspring behind the house.
She said the Zambia Wildlife Authority (ZAWA) has restricted poaching in the area which is a source of meat and decided to eat her baby as a substitute.
Serenje District Commissioner Charles Mwelwa confirmed the incident and said after the women was interrogated, she admitted killing and eating her child.
Mwelwa said the woman was picked up by members of the village where she resided and taken to chieftainess Serenje.
The woman was later surrendered to police officers for further investigations and she was subsequently arrested.