A paper sheet handling machine comprising: a first unit; and a second unit including a first transport path that is configured to transport a paper sheet and movable in a first direction with respect to the first unit, the first direction being a horizontal direction from a rear side of the paper sheet handling machine to a front side of the paper sheet handling machine, the front side of the paper sheet handling machine being opposite of the rear side of the paper sheet handling machine, wherein the first transport path includes a first portion extending in the first direction, and a second portion engageable with the first portion, the first transport path is put into a first state in which the paper sheet between the first portion and the second portion is transportable when the first portion and the second portion engage with each other, wherein the first transport path is put into a second state in which the second portion is swingable in a direction away from the first portion by an own weight of the second portion about a first swing axis extending in a direction orthogonal to the first direction and horizontal when engagement between the first portion and the second portion is released, the first unit includes a contact portion, a facing surface and the contact portion including a raised portion, the contact portion coming into contact with the second portion to engage the second portion with the first portion when the second unit in which the first transport path is in the second state is moved in a second direction opposite to the first direction, the facing surface facing the second unit when the second unit in which the first transport path is in the second state is moved in the second direction, the raised portion provided on the facing surface and coming into contact with the second portion, thereby engaging the second portion with the first portion, when the second unit in which the first transport path is in the second state is moved in the second direction, and the raised portion includes a roller that rotates about a rotation axis extending in a direction orthogonal to the second direction and horizontal. a first unit; and a second unit including a first transport path that is configured to transport a paper sheet and movable in a first direction with respect to the first unit, the first direction being a horizontal direction from a rear side of the paper sheet handling machine to a front side of the paper sheet handling machine, the front side of the paper sheet handling machine being opposite of the rear side of the paper sheet handling machine, wherein the first transport path includes a first portion extending in the first direction, and a second portion engageable with the first portion, a first portion extending in the first direction, and a second portion engageable with the first portion, the first transport path is put into a first state in which the paper sheet between the first portion and the second portion is transportable when the first portion and the second portion engage with each other, wherein the first transport path is put into a second state in which the second portion is swingable in a direction away from the first portion by an own weight of the second portion about a first swing axis extending in a direction orthogonal to the first direction and horizontal when engagement between the first portion and the second portion is released, the first unit includes a contact portion, a facing surface and the contact portion including a raised portion, the contact portion coming into contact with the second portion to engage the second portion with the first portion when the second unit in which the first transport path is in the second state is moved in a second direction opposite to the first direction, the facing surface facing the second unit when the second unit in which the first transport path is in the second state is moved in the second direction, the raised portion provided on the facing surface and coming into contact with the second portion, thereby engaging the second portion with the first portion, when the second unit in which the first transport path is in the second state is moved in the second direction, and the raised portion includes a roller that rotates about a rotation axis extending in a direction orthogonal to the second direction and horizontal.