Ice making portions of an ice making machine have a pair of ice making plates disposed vertically and an evaporation tube disposed between back faces of the ice making plates. A plurality of vertically extending projected rims are formed at predetermined intervals widthwise on a surface of each ice making plate to define a plurality of ice making regions. The ice making plates facing the ice making regions are provided with consecutive vertical steps of inclined portions inclined from a back side towards a front side as directed downwardly, and contact horizontal extensions of the evaporation tube at a vertically intermediate position on a back face of each inclined portion.
