A refrigerator with a cabinet and a door to selectively open or close the cabinet, said door being provided with a storage container which may be selectively supported by the refrigerator cabinet or the door, characterised in that said storage container is provided with a connection support device configured to engage a fixing device provided on the door and to disengage the fixing device in response to contact with the cabinet, the connection support device comprising: a connecting bracket including a base coupled to the storage container and two legs extending outward from opposite ends of the base; a connecting member, comprising: a depressible portion rotatably installed so as to extend between the two legs of the connecting bracket; a hook that extends outward from the depressible portion; and an insertion aperture formed in the depressible portion; and a pivoting member, comprising: a pivoting shaft rotatably installed so as to extend between the two legs of the connecting bracket, at a position between the connecting member and the base of the connecting bracket; a push portion coupled to and extending outward from the pivoting shaft in a first direction, wherein the push portion is selectively removed from and inserted into the insertion aperture to rotate the connecting member and respectively engage and disengage the fixing device; and a contact portion coupled to and extending outward from the pivoting shaft in a second direction, wherein the contact portion is configured to rotate the pivoting member in response to contact with the cabinet to insert the push portion into the insertion aperture and disengage the fixing device, whereby the pivoting member is configured to rotate to press the connecting member when the pivoting member contacts the cabinet, whereby the connecting member is configured to be disconnected from the fixing device when the connecting member is pressed by the pivoting member. a connecting bracket including a base coupled to the storage container and two legs extending outward from opposite ends of the base; a connecting member, comprising: a depressible portion rotatably installed so as to extend between the two legs of the connecting bracket; a hook that extends outward from the depressible portion; and an insertion aperture formed in the depressible portion; and a depressible portion rotatably installed so as to extend between the two legs of the connecting bracket; a hook that extends outward from the depressible portion; and an insertion aperture formed in the depressible portion; and a pivoting member, comprising: a pivoting shaft rotatably installed so as to extend between the two legs of the connecting bracket, at a position between the connecting member and the base of the connecting bracket; a push portion coupled to and extending outward from the pivoting shaft in a first direction, wherein the push portion is selectively removed from and inserted into the insertion aperture to rotate the connecting member and respectively engage and disengage the fixing device; and a contact portion coupled to and extending outward from the pivoting shaft in a second direction, wherein the contact portion is configured to rotate the pivoting member in response to contact with the cabinet to insert the push portion into the insertion aperture and disengage the fixing device, whereby the pivoting member is configured to rotate to press the connecting member when the pivoting member contacts the cabinet, whereby the connecting member is configured to be disconnected from the fixing device when the connecting member is pressed by the pivoting member. a pivoting shaft rotatably installed so as to extend between the two legs of the connecting bracket, at a position between the connecting member and the base of the connecting bracket; a push portion coupled to and extending outward from the pivoting shaft in a first direction, wherein the push portion is selectively removed from and inserted into the insertion aperture to rotate the connecting member and respectively engage and disengage the fixing device; and a contact portion coupled to and extending outward from the pivoting shaft in a second direction, wherein the contact portion is configured to rotate the pivoting member in response to contact with the cabinet to insert the push portion into the insertion aperture and disengage the fixing device, whereby the pivoting member is configured to rotate to press the connecting member when the pivoting member contacts the cabinet, whereby the connecting member is configured to be disconnected from the fixing device when the connecting member is pressed by the pivoting member.