The invention discloses a damping system of a novel vibratory roller, which comprises two groups of rubber shock absorber assemblies which are symmetrically arranged at two sides of a vibration shaft; the rubber shock absorber assembly comprises a vertical shock-absorber supporting plate, an upper frame supporting plate which is arranged at the outer side of the shock-absorber supporting plate and is parallel to the shock-absorber supporting plate, and a plurality of rubber shock absorbers which are uniformly arranged between the shock absorber supporting plate and the upper frame supporting plate along the circumferential direction; the rubber shock absorber comprises a shock absorber outer frame with the interior which is divided by a shock absorber separation plate into two shock absorber cavities with identical structure which is arranged between the upper frame supporting plate and the shock absorber supporting plate, two shock absorber cores which are respectively arranged on the middle part at the inner side of the two shock absorber cavies, and a plurality of vibration isolation rubbers which are uniformly and symmetrically arranged inside a gap between the shock absorber cores and the shock absorber cavities. The damping system has reasonable design, reliable performance and good application effect; the original cutting and stretching working environment of the shock absorption rubber is changed to a compressed state, so the service life of the shock absorber is prolonged, while the performance of the rubber shock absorber is adequately utilized.