A paper sheet handling apparatus 1 includes: a casing which includes a first face and a second face opposed to the first face; a receiving unit 211 which receives paper sheets; a recognition unit 212 which performs at least one of a counting process and a recognition process with respect to the paper sheets; at least two stacking units 31-34 which stack the paper sheets after processing in the recognition unit 212; a transport unit 4 for transporting the paper sheets among the receiving unit 211, the recognition unit 212 and the stacking units 31-34; and a controller which controls each of the units, thereby having each of the paper sheets selectively stacked in the stacking units 31-34. Each of the stacking units 31-34 has at least two paper sheet removal openings 3L, 3R which are open in the first face and the second face. The paper sheets in the stacking units 31-34 are allowed to be removed through the paper sheet removal openings 3L, 3R, from the first face side and the second face side of the casing.