The invention enables to pressure-bond a carcass ply sheet pasted onto a rubber laminating member wound around a periphery of a building drum firmly along a recessed and projected shape of the rubber laminating member without producing a deformation or a warp of a carcass cord, by using a stitcher apparatus constituted by arranging a plurality of pressure-bond rollers having axis centers in a tangential direction of a concentric circle having a diameter larger than that of a building drum in a peripheral direction by a plurality of rows and by a constant pitch by being respectively supported to be able to progressively displace to an inner side in a diameter direction, while moving the building drum in an axial direction relative to the pressure-bond rollers on an inner side of a circular arrangement of the pressure-bond rollers, a carcass ply sheet is pressed by a predetermined pressure to pressure-bond over an entire periphery and simultaneously by the respective pressure-bond rollers progressively displaced to the inner side in the diameter direction.