An ice cube container of an ice maker for household purposes includes a bottom, front and rear wall sections arranged on opposite ends of the bottom, and two sidewall sections interconnecting the end wall sections. The front and rear wall sections have each a length which is shorter than a length of the side wall sections. Arranged on one of the sidewall sections is a removal handle to allow easy removal of ice cubes. The ice cube container is removably received in a receptacle of a freezer compartment drawer of a refrigeration appliance in only one way in which the removal handle of the ice cube container faces the center of the freezer compartment drawer when the ice cube container is inserted in the receptacle.