Significant number of mechanisms for sheet cutting are already designed and produced. In spite of the fact that all of these mechanisms are suitable for cutting, all of them have some advantages and disadvantages. The aim of the paper is to present a new type of cutting mechanism. It is a crank mechanism with the cutting tool. The geometric and kinematic properties of the mechanism are analyzed. As the result the constraints of the mechanism are defined. The force and torque distribution of the elements of the mechanism is investigated. Based on the known cutting force the necessary input torque of the input element of the mechanism is calculated. In the paper a numerical example is considered. Based on the obtained results the discussion about properties of such mechanisms is given. Besides, the priority for application of such mechanism in comparison to the already known is motivated.