An ice supplying apparatus, being provided in a refrigerator, includes an ice maker unit, which is configured to supply ice pieces produced therein to an outside of a freezer room door; an ice storage unit, which is configured to store the ice pieces produced by the ice maker unit; an ice discharger unit, which is provided within the ice storage unit to discharge the ice pieces below; and a shrinking portion, which is provided in the ice storage unit and defines an interior space thereof as small as it goes down, through building up a lower surface, among interior surfaces defining that interior space of the ice storage unit, for supporting the ice pieces stored therein from a lower portion thereof, by a surface inclining to a horizontal direction, wherein the ice discharger unit is disposed in a lower portion of the shrinking portion.