A door driving system and a refrigerator having the door driving system according to the present invention are provided with a motor, a power transmitting device for transmitting the power generated by the motor to the hinge, and an auxiliary device for receiving the power generated by the motor and generating an auxiliary force to move a door positioned in a closing position in an opening direction, so that the torque to be applied to the hinge of the door for opening and closing the door may be reduced.