A paper sheet handling machine comprising: an upper assembly including an inlet unit for putting a paper sheet into inside of a housing from outside, an ejecting unit for ejecting the paper sheet from inside of the housing to outside, a transporting unit connected to the inlet unit and the ejecting unit, for transporting the paper sheet within the housing, and a recognition unit provided to the transporting unit for recognizing the paper sheet being transported by the transporting unit; a lower assembly including a plurality of storage units (34, 36) for storing the paper sheet sent from the transporting unit of the upper assembly; and a controlling unit configured to perform control to sort the paper sheet that is to be sent from the transporting unit of the upper assembly to the lower assembly, to each of the storage units (34, 36) based on a predetermined classification condition designated in advance, characterized in that the paper sheet handling machine is constituted to perform the following: if the storage unit (34, 36) to which a banknote recognized by the recognition unit is to be sent is in a full state or near-full state and it is not possible to store the banknote in the storage unit (34, 36), the banknote recognized by the recognition unit is sent to a storage/feeding unit and stored in this storage/feeding unit, and then, when the storage unit (34, 36) in the full state or near-full state is taken out from the lower assembly and an empty storage unit (34, 36) is mounted, the banknote is fed out to the transporting unit one by one from the storage/feeding unit, and the banknote fed out from the storage/feeding unit is sent to the mounted storage unit (34, 36) by the transporting unit. an upper assembly including an inlet unit for putting a paper sheet into inside of a housing from outside, an ejecting unit for ejecting the paper sheet from inside of the housing to outside, a transporting unit connected to the inlet unit and the ejecting unit, for transporting the paper sheet within the housing, and a recognition unit provided to the transporting unit for recognizing the paper sheet being transported by the transporting unit; a lower assembly including a plurality of storage units (34, 36) for storing the paper sheet sent from the transporting unit of the upper assembly; and a controlling unit configured to perform control to sort the paper sheet that is to be sent from the transporting unit of the upper assembly to the lower assembly, to each of the storage units (34, 36) based on a predetermined classification condition designated in advance, characterized in that the paper sheet handling machine is constituted to perform the following: if the storage unit (34, 36) to which a banknote recognized by the recognition unit is to be sent is in a full state or near-full state and it is not possible to store the banknote in the storage unit (34, 36), the banknote recognized by the recognition unit is sent to a storage/feeding unit and stored in this storage/feeding unit, and then, when the storage unit (34, 36) in the full state or near-full state is taken out from the lower assembly and an empty storage unit (34, 36) is mounted, the banknote is fed out to the transporting unit one by one from the storage/feeding unit, and the banknote fed out from the storage/feeding unit is sent to the mounted storage unit (34, 36) by the transporting unit.