Abstract: An apparatus for surface processing of cylindrical bodies including a work station (100) for rotatably supporting the cylindrical body (1), a laser emitter (600) movable along a main direction (X) parallel to the rotation axis (K) of the cylindrical body (1) and according to an auxiliary direction (Z) transverse to the main direction (X), a distance sensor (700) for detecting a control parameter relative to a distance of the sensor or the laser emitter (600), and a control unit (15) configured for commanding a movement of the laser emitter (600) and of the distance sensor (700) along said main direction (X), commanding the emission of a laser beam directed towards a surface of the cylindrical body (1), executing a correction procedure adapted to compensate for the eccentricity of the cylindrical body (1) with respect to said rotation axis (K).