The invention relates to a method for producing a bevel gear wheel, in particular for rudder propellers, the teeth of which have a macro geometry specific to the gear wheels, the teeth of which can be described by flank and profile lines, the flanks of which have a tooth flank micro topography and the bearing surface of which represents the contact region of the inter-meshing teeth. The crown of a tooth flank corresponds to the elevation of the tooth flank center with respect to the tooth flank edge, wherein the course of the height and width crowns of the flank surface is substantially shaped like a circular arc. By means of precise material removal, the micro topography of the tooth flank and thus the bearing surface is optimized firstly in that the material removal is carried out such that the end relief on the tooth flank surface is reduced toward the tooth heel side and the tooth toe side, an area having a greater length and width comes into engagement on the flank and thus an enlarged bearing surface is present, and secondly in that the course of the crown the crown of a tooth flank follows an approximately logarithmic, elliptical and/or an exponential curve shape, which runs through the point of contact, when the ease-off is viewed with no load, in a longitudinal section in the flank sectional surface and/or in a profile section in the profile sectional surface.