The invention discloses a rimmed-type vibration screen damping device. The device includes a device body, a device housing is arranged on the exterior of the device body, an upper supporting plate isarranged on the upper portion of the interior of the device body, a sponge layer is arranged below the upper supporting plate and connected with an upper pressing plate, bearings are arranged under the upper pressing plate evenly, and springs are arranged on the surfaces of the bearings; a piston cavity is formed under the upper pressing plate, a supporting rod is connected with a piston rod through the piston cavity, the upper pressing plate is connected with a lower pressing plate through the bearings, the lower pressing plate is connected with the piston cavity through the piston rod, and the lower portion of the lower pressing plate is connected with the sponge layer; a lower supporting plate is arranged under the sponge layer, a device body baseplate is arranged under the device body,and the lower supporting plate is fixed to the device body baseplate. Through arrangement of the sponge layer, the piston cavity, the piston rod, the springs, sliding pulleys and sliding pulley buckles, the problems are solved that existing vibration screen damping devices cannot achieve effective damping of equipment and the protection, fixation, assembly and disassembly of the devices are difficult.