Grinding of machine and responsible equipment parts, gear surfaces with various purpose shapes provided in the construction of tools, as well as gear surfaces provide high processing accuracy and productivity. At this time, the positioning angles of the elemental regions of the workpiece to be grinded in the cutting zone differ from each other, the actual cutting depth varies along the shaped profile, and due to inheritance, similar processing errors occur on the grinded surface, processing efficiency is not ensured. In this work, the mechanism of the change of cutting depth during grinding of shaped surfaces by copying is investigated, the direction of ensuring its maximum regularity along the shaped profile is determined, the issue of improving the quality and efficiency of grinding is solved by using the technological possibilities of the operation, despite the reduction of the number of working trips, grinding should be carried out in relatively light modes and it is possible to ensure similar quality of grinding. By placing the tooth of the gear to be grinded at an angle the roughness of the processed surfaces during grinding is smaller compared to tooth grinding with the existing method and the quality is correspondingly high.