An apparatus for and a method of supplying cold air to a refrigeration compartment door passing through a distributing duct provided in the apparatus, are disclosed. A refrigerator with the apparatus includes at least one compartment for preserving foods at a cold temperature, a first duct for supplying cool air to one portion of the compartment, a second duct for supplying the cool air to the other portion of the compartment and a pair of blower fans mounted in order to introduce the cool air to the first and second ducts, respectively. Therefore, the interior of the refrigeration compartment is maintained at a desired low temperature, thus allowing foods in the refrigeration compartment to be always maintained at the desired low temperature.