An apparatus for making ice cubes that comprises at least one elongated mould (102) that defines a space (117) for an ice column, which space (117) is at least substantially closed at least while a liquid substance is being refrigerated. A supplying device (118) is provided for supplying the liquid substance to the at least one elongated mould (102). A refrigerating device (111) is provided for freezing the liquid substance inside the at least one elongated mould (102) An elongated element (101) is configured to extend through said at least one mould (102) in a longitudinal direction of said at least one mould (102). The elongated element (101) is configured to rotate around a longitudinal axis of the elongated element (101).