This method for producing a hollow fiber film layer laminate comprises producing a hollow fiber film layer laminate that has a cylindrical shape as the overall shape and is configured from a laminatehaving a plurality of hollow fiber films, the laminate being obtained by laminating a plurality of hollow fiber film layers configured from a plurality of these hollow fiber films, wherein: the methodhas a winding step for laminating the hollow fiber film layers in the radial direction of the cylinder by moving the hollow fiber films in a reciprocating manner in the central-axis direction of thecylinder while winding the hollow fiber films around the central axis of the cylinder so that the hollow fiber films adjacent to each other in the central-axis direction of the cylinder are separatedby a prescribed distance; and the acceleration rate z decreases as the hollow fiber film layer moves outward along the radial direction of the cylinder in the winding step, where the acceleration ratez is defined as a value obtained by dividing the pitch between the adjacent hollow fiber films in the central-axis direction of the cylinder by the traverse reciprocation distance.