The paper presents the reconstruction of the factory clamping mechanism for abrasive circular in order to improve the technical characteristics. Reconstruction was done because of the disadvantages of this mechanism in operation. Instead of the mechanical clamping mechanism on the abrasive circular, the newly designed pneumatic clamping mechanism is integrated. The reconstructed work has significantly improved the operation of the abrasive circular. In the previous paper the first solution for the reconstruction of the abrasive circular clamping mechanism was presented. In this paper, the newly designed solution of the clamping mechanism has been improved by enabling the function of automatic motion of the abrasive grinding wheel. Also, the paper has been extended with calculating models of old and new clamping systems and representations of old and new fixture.