This tool is for processing wheel tire profiles for wheels (5) on a railway vehicle wheelset on a wheelset lathe that has a cylindrical or mushroom-shaped cutting tool (22) made from a hard material, such as carbide or cutting ceramics, that is fixed to a tool holder (23) which is positioned in a tool support that can be moved into the x and z axes of the wheelset lathe. The tool holder (23) is aligned below an acute angle (α) of a tangent (33) to the circle of a cut and at a level (4) perpendicular to the wheel tire profile. It is also able to be turned and moved along its longitudinal axis (31).