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In the paper an analysis of gripping thin metal sheets in technological process of stamping metal closures is presented. An object made of two suction cups and pneumatic control system of vacuum and pressure inside the suction cup was analyzed. Mathematical model contains differential equations which were solved basing on Matlab/Simulink application. Prepared model provides an opportunity to check different parameters of the system. The paper presents analysis of impact of feed pressure on the course of sucking forces.