Abstract: My invention concerns the design and realization, for vibrating or shaking screening machines, of a screen fitting and automatic tensioning of suspended and pivoting type system. The aim of my invention is to reduce the necessary fatigue and time occasioned for changing screen mats, cloths or others in vibrating or shaking machines, to carry out the said changings without or with the least possible intervention inside of such machines. Also to obtain a system in which the tension bars, serving to receive the screen mats, cloths or other tension hooks, as well as to apply a tension over the said screen mats, cloths or others, such tension bars are maintained in a suspended, pivoting and definite position to allow for one the simple sliding of the screen mats, cloths or others into the vibrating or shaking machine, and finally to tension them from the outside of the said machine.