The invention relates to a screening device (1) for a pulverulent or granular material, in particular a control screen for milled products such as flour, middlings or semolina. The device has an inlet (2) for material to be screened, an outlet (3) for rejections and an outlet (4) for undersize. Furthermore, the screening device comprises a screen frame (5) with a screen (5a) fastened thereto and a base framework (8). The screen frame (5) is mounted such that it can move relative to the base framework (8) of the screening device (1) and is coupled to a vibrating source (7) by means of which the screen frame (5) can be made to move with vibrating movements relative to the base framework (8) of the screening device. During operation, the screen frame (5) can be made to move with vibrating movements whose frequency is in the range from 15 Hz to 100 Hz and whose amplitude is in the range from 0.1 mm to 6 mm.