It happened sometime between 07:00 and 17:00 on Wednesday 2 November in the area of La Rue De La Marvaive.
The birds were found dead in the garden of a private property near Beaucette Marina.
Two dogs were seen running loose in the area surrounding where the chickens were so it is thought they may have been involved in the incident.
PC 157 Wesley is investigating and can be contacted via the police station on 222 222 or by calling Crimestoppers anonymously on 0800 555 111.