A refrigerator with an icemaker, comprising; a cooling chamber and a first freezer chamber, and a dispenser provided at a door of the refrigerator, a supplementary freezer chamber provided in the cooling chamber; and a cavity provided in the door and being arranged to be in communication with the supplementary freezer chamber when the door is closed, the dispenser being arranged to be in communication with the cavity, wherein the icemaker produces ice using cool air from the supplementary freezer chamber, wherein the supplementary freezer chamber is provided in an upper part of the cooling chamber, the supplementary freezer chamber comprising: a housing having a predetermined space therein that is independent of the cooling chamber, the housing in communication with the cavity when the door is closed, characterized in that:- ice produced from the icemaker is stored in the cavity, an outlet is provided at the lower part of the cavity for discharging ices stored in the cavity to the dispenser, an ice chute is provided at the door for connecting the outlet with the dispenser, the cavity is surrounded with an insulating material, which is configured to prevent the cool air supplied from the supplementary freezer from being transmitted to the cooling chamber or an outside of the door, and the housing of the supplementary freezer chamber includes an insulating material such that the predetermined space therein is insulated from the cooling chamber, wherein an evaporator is provided in the housing such that the supplementary freezer chamber is cooled separately from the cooling chamber. a cooling chamber and a first freezer chamber, and a dispenser provided at a door of the refrigerator, a supplementary freezer chamber provided in the cooling chamber; and a cavity provided in the door and being arranged to be in communication with the supplementary freezer chamber when the door is closed, the dispenser being arranged to be in communication with the cavity, wherein the icemaker produces ice using cool air from the supplementary freezer chamber, wherein the supplementary freezer chamber is provided in an upper part of the cooling chamber, the supplementary freezer chamber comprising: a housing having a predetermined space therein that is independent of the cooling chamber, the housing in communication with the cavity when the door is closed, a housing having a predetermined space therein that is independent of the cooling chamber, the housing in communication with the cavity when the door is closed, characterized in that:- ice produced from the icemaker is stored in the cavity, an outlet is provided at the lower part of the cavity for discharging ices stored in the cavity to the dispenser, an ice chute is provided at the door for connecting the outlet with the dispenser, the cavity is surrounded with an insulating material, which is configured to prevent the cool air supplied from the supplementary freezer from being transmitted to the cooling chamber or an outside of the door, and the housing of the supplementary freezer chamber includes an insulating material such that the predetermined space therein is insulated from the cooling chamber, wherein an evaporator is provided in the housing such that the supplementary freezer chamber is cooled separately from the cooling chamber. ice produced from the icemaker is stored in the cavity, an outlet is provided at the lower part of the cavity for discharging ices stored in the cavity to the dispenser, an ice chute is provided at the door for connecting the outlet with the dispenser, the cavity is surrounded with an insulating material, which is configured to prevent the cool air supplied from the supplementary freezer from being transmitted to the cooling chamber or an outside of the door, and the housing of the supplementary freezer chamber includes an insulating material such that the predetermined space therein is insulated from the cooling chamber, wherein an evaporator is provided in the housing such that the supplementary freezer chamber is cooled separately from the cooling chamber.