Provided is a bevel gear drive possessing two bevel pinions. The method involves providing each bevel pinion with multiple teeth that rotates in operation at a speed about an axis of rotation and intersects on a crossing point of an axis while forming an angle of intersection. The bevel pinions interact with each other by tooth flanks. A computer determines tooth flank profiles according to data different from the tooth flank profiles. The data reflects features of corresponding touch paths according to a plurality of radiuses relative to the crossing point. The touch paths are in sequential according to touch points and the tooth flanks interact with each other on the touch points when the bevel pinions rotate. The computer determines the tooth flank profiles for the touch paths, i.e. the tooth flanks interacting in all touch points with corresponding radiuses have common normals which intersect with corresponding rolling points. The rolling points separate a radius between the axis of rotation and a point of intersection and form roll positions with the axis of rotation according to the relation of tan gamma = sin delta/ (omega1/ omega 2 + cos delta). The computer determines and stores in form geometrical data of the bevel pinions while applying the tooth flank profiles and can automatically generate a subprogram of manufacturing bevel pinions for a processing machine with at least five shafts according to the geometrical data.