A money handling apparatus for performing at least depositing includes: a casing; a depositing unit; a recognition unit configured to at least count or recognize money fed from the depositing unit; an inner storage unit from which the money stored therein is unremovable directly from the outside of the casing; an outer stacking unit from which the money stacked therein is removable directly from the outside of the casing; a transport unit configured to transport the money among the above-described units; and a controller configured to allow selective transport of the money handled by the recognition unit to the inner storage unit, or the outer stacking unit. The controller transfers the money to the inner storage unit when a first deposit mode is selected by a selection signal, or transfers the money to the outer stacking unit when a second deposit mode is selected.