A paper sheet transport apparatus (10, 110) that transports a paper sheet along a transport path, comprising: a transport member (36, 38, 136, 138, 236, 238) that is slidable along a widthwise direction of the transport path and transports the paper sheet along the transport path; a paper sheet detection unit that is arranged upstream of the transport member (36, 38, 136, 138, 236, 238) in a paper sheet transport direction along the transport path and detects a position of the paper sheet in the widthwise direction of the transport path; and a control unit that calculates an amount of movement of the transport member (36, 38, 136, 138, 236, 238) based on a position of the paper sheet in the widthwise direction of the transport path detected by the paper sheet detection unit and a previously set predetermined position of the paper sheet in the widthwise direction of the transport path, and performs a control so as to slide the transport member (36, 38, 136, 138, 236, 238) by the calculated movement amount when the paper sheet is transported by the transport member (36, 38, 136, 138, 236, 238), the transport member (36, 38, 136, 138, 236, 238) comprises a plurality of the transport members (36, 38, 136, 138, 236, 238) arranged in tandem along the paper sheet transport direction, in the transport path, the paper sheet is transported sequentially starting from the transport member (36, 38, 136, 138, 236, 238) arranged most upstream toward the transport members (36, 38, 136, 138, 236, 238) arranged downstream thereof, characterized in that the control unit controls the transport members (36, 38, 136, 138, 236, 238) to slide along the widthwise direction of the transport path so that a sum total of amounts of movement of the paper sheet in the widthwise direction of the transport path performed by the transport members (36, 38, 136, 138, 236, 238) is equal to the calculated movement amount when the paper sheet is transported sequentially by the transport members (36, 38, 136, 138, 236, 238). a transport member (36, 38, 136, 138, 236, 238) that is slidable along a widthwise direction of the transport path and transports the paper sheet along the transport path; a paper sheet detection unit that is arranged upstream of the transport member (36, 38, 136, 138, 236, 238) in a paper sheet transport direction along the transport path and detects a position of the paper sheet in the widthwise direction of the transport path; and a control unit that calculates an amount of movement of the transport member (36, 38, 136, 138, 236, 238) based on a position of the paper sheet in the widthwise direction of the transport path detected by the paper sheet detection unit and a previously set predetermined position of the paper sheet in the widthwise direction of the transport path, and performs a control so as to slide the transport member (36, 38, 136, 138, 236, 238) by the calculated movement amount when the paper sheet is transported by the transport member (36, 38, 136, 138, 236, 238), the transport member (36, 38, 136, 138, 236, 238) comprises a plurality of the transport members (36, 38, 136, 138, 236, 238) arranged in tandem along the paper sheet transport direction, in the transport path, the paper sheet is transported sequentially starting from the transport member (36, 38, 136, 138, 236, 238) arranged most upstream toward the transport members (36, 38, 136, 138, 236, 238) arranged downstream thereof, characterized in that the control unit controls the transport members (36, 38, 136, 138, 236, 238) to slide along the widthwise direction of the transport path so that a sum total of amounts of movement of the paper sheet in the widthwise direction of the transport path performed by the transport members (36, 38, 136, 138, 236, 238) is equal to the calculated movement amount when the paper sheet is transported sequentially by the transport members (36, 38, 136, 138, 236, 238).