A paper sheet handling machine 100 comprises an upper unit 10 having a paper sheet take-in apparatus 120 adapted for taking therein paper sheets, one by one, from the exterior, an upper transport mechanism 201a adapted for transporting the paper sheets taken in by the paper sheet take-in apparatus 120, one by one, and a recognition unit 220 adapted for recognizing each paper sheet transported by the upper transport mechanism 201a; a lower unit 20 located below the upper unit 10 and having a lower transport mechanism 201b provided to receive the paper sheets transferred from the upper transport mechanism 201a, one by one, and then further transport the transferred paper sheets, and a plurality of stacking units 106, each adapted for stacking therein the paper sheets transported by the lower transport mechanism 201b and sorted based on results obtained by the recognition unit 220. In this case, at least a part of a bottom portion of the upper unit 10 is opened. Additionally, a partition member 30 is provided between the upper unit 10 and the lower unit 20.