A vibrating screen used for the fine screening of solids from a slurry containing solids includes a base, a screen box having feed end and discharge end with said screen box being resiliently supported on the base, and a drive for vibrating said screen in a generally longitudinal direction. The screen includes at least two overlying layers of relatively fine mesh screen cloth. A tensioning device is connected to one end of the screen cloth for tensioning the screen cloth in a direction parallel to the direction of motion of the screen cloth.