A valuable medium handling apparatus configured to handle a plurality of types of valuable media. The valuable medium handling apparatus includes an inlet configured to deposit the plurality of types of valuable media, a setting unit configured to set the types of the valuable media being handled by the apparatus as a first type or a second type, a determination unit configured to determine whether a type of each of the valuable media deposited in the inlet is the first type or the second type based on the setting result of the setting unit and determine whether the valuable medium determined as the first type is a genuine medium or a counterfeit medium, and a plurality of stackers configured to stack the valuable medium of the type determined by the determination unit, the plurality of stackers including a first stacker and a second stacker.