A paper sheet handling apparatus includes: a displacement amount detector that includes a pressing part intended to press a paper sheet against a transporting face of a paper sheet transporting path and having an initial position at which the pressing part is not in contact with the transporting face of the paper sheet transporting path, the displacement amount detector detecting a displacement amount of displacement of the pressing part from the initial position in a direction perpendicular to the transporting face, the pressing part being displaced according to a thickness of a paper sheet passing between the transporting face and the pressing part; a reference displacement amount storage; a paper sheet thickness storage; and a tape thickness threshold storage.