A paper sheet handling machine, which is configured to take paper sheets therein from the exterior and then store the paper sheets in the interior thereof, and comprises: a stacking unit (30, 40) having a storage space (30p, 40p) provided therein and an opening formed in a side face thereof, the storage space (30p, 40p) being configured to store therein the paper sheets taken in the machine from the exterior, while the opening is configured to allow the paper sheets stored in the storage space (30p, 40p) to be taken out therethrough; a transport unit configured to transport the paper sheets taken in the machine from the exterior, toward the stacking unit (30, 40); and a pushing unit configured to push the paper sheets stored in the storage space (30p, 40p) of the stacking unit (30, 40), toward the opening; characterised in that the storage space (30p, 40p) provided in the stacking unit (30, 40) is composed of a space surrounded by a bottom face (30b, 40b) and one or more side faces (30a, 30c, 30d, 40a, 40c, 40d) of the stacking unit (30, 40), wherein one (30a, 40a) of the side faces (30a, 30c, 30d, 40a, 40c, 40d) has a stacking wheel (32, 42) attached thereto, the stacking wheel (32, 42) being configured to stack each paper sheet fed to the stacking unit (30, 40) from the transport unit, in the storage space (30p, 40p), and wherein the bottom face (30b, 40b) constituting the storage space (30p, 40p) is downwardly inclined toward the one side face (30a, 40a) having the stacking wheel (32, 42) attached thereto, wherein the opening of the stacking unit (30, 40) is provided, such that the direction in which the paper sheets are taken out from the opening is substantially orthogonal to the direction in which the paper sheets are fed to the stacking unit (30, 40) from the transport unit. a stacking unit (30, 40) having a storage space (30p, 40p) provided therein and an opening formed in a side face thereof, the storage space (30p, 40p) being configured to store therein the paper sheets taken in the machine from the exterior, while the opening is configured to allow the paper sheets stored in the storage space (30p, 40p) to be taken out therethrough; a transport unit configured to transport the paper sheets taken in the machine from the exterior, toward the stacking unit (30, 40); and a pushing unit configured to push the paper sheets stored in the storage space (30p, 40p) of the stacking unit (30, 40), toward the opening; characterised in that the storage space (30p, 40p) provided in the stacking unit (30, 40) is composed of a space surrounded by a bottom face (30b, 40b) and one or more side faces (30a, 30c, 30d, 40a, 40c, 40d) of the stacking unit (30, 40), wherein one (30a, 40a) of the side faces (30a, 30c, 30d, 40a, 40c, 40d) has a stacking wheel (32, 42) attached thereto, the stacking wheel (32, 42) being configured to stack each paper sheet fed to the stacking unit (30, 40) from the transport unit, in the storage space (30p, 40p), and wherein the bottom face (30b, 40b) constituting the storage space (30p, 40p) is downwardly inclined toward the one side face (30a, 40a) having the stacking wheel (32, 42) attached thereto, wherein the opening of the stacking unit (30, 40) is provided, such that the direction in which the paper sheets are taken out from the opening is substantially orthogonal to the direction in which the paper sheets are fed to the stacking unit (30, 40) from the transport unit.