An auger type ice making mahine has a refrigerator, an ice making cylinder for forming a layer of ice in cooperation with the refrigerator, and a top ice storage chamber in communication with the ice making cylinder for storing ice discharged therefrom. A bottom ice storage chamber is disposed below the top ice storage chamber for receiving and storing ice transferred from the top ice storage chamber. The top ice storage chamber is equipped with a top ice storage level detector for detecting the amount of ice stored within the top chamber, an ice dispensing gate mechanism capable of dispensing ice pieces stored in the top ice storage chamber outwardly therefrom, and an ice transfer system capable of transferring ice pieces from the top ice storage chamber to the bottom ice storage chamber. The bottom ice storage chamber is provided with a bottom ice storage level detector for detecting the amount of ice stored within the bottom chamber. The refrigerator is stopped by the top ice storage detector when a predetermined amount of stored ice is detected. The ice transfer system is controlled so as to be released from the operating state by the bottom ice storage level detector when a predetermined amount of stored ice within the bottom chamber is detected.