An elastic sieving method and corresponding large-sized elastic vibration screen The present invention utilizes a screening surface and a separate sieving machine. A screen mat located on the sieve box is connected to multiple small rectangular screens. While the machine is vibrating, the resonation of screen rods located on the screen mat connected by small rectangular screens are initiated to screen the material and to cause the vibration of the whole vibration screen and realize the conveyance and lamination of materials. Because the screening surface is in a state of resonance, the vibration strength is strong enough to prevent the screen meshes from becoming plugged, allowing for high sieving efficiency. A bearing in the sieving mechanism is installed with a vibration damping ring, placing the bearing in a resonant state, allowing for a low dynamic stress level, which satisfies the process requirement for large-sized vibration screen excitation units with a screening surface as wide as 4800 mm. Thus, the production efficiency of vibration screen is high, the structure of the machine is simple and easy to repair and maintain, and energy consumption is reduced. Furthermore, the dynamic stress level of the sieving machine is low, the reliability is high, and the vibrations are stable. These properties allow the present invention to have a wide range of practical applications, including uses in the coal, metallurgic, chemical and environmental protection fields.