Abstract: A machine for bevelling lenses having a fixed base and a moving carriage is provided with tracing means which follows the profile of a template corresponding to the lens to be bevelled. A reducing grinding wheel and a bevelling wheel are driven by respective motors and housed in the fixed base. The lens to be bevelled is mounted on the moving carriage, guided by the tracing means, which are programmed by means of control elements, so that automatic operation of the machine is obtained.