The invention provides a durable buffering screen cloth device of an eddy-vibrating screen. The device comprises a frame, screen cloth is mounted in the frame, and a cross structure support is arranged on one side of the screen cloth, is in contact with the screen cloth and is connected with the frame. The durable buffering screen cloth device has the advantages that vibration amplitude generated when the screen cloth filters circulation slurry can be lowered, impact of the circulation slurry to the screen cloth is relieved, degree of wear of the screen cloth due to the circulation slurry is reduced, service life of the screen cloth is prolonged effectively, the screen cloth is less prone to falling off after damaged, the fallen screen cloth can be prevented from entering a rotary spraying device, and normal operation of desulfurization is unaffected.