Reinforced rubber sand can be used to fill into the geotextile chamber with high strength welding. Large size cyclic shear tests have been conducted, thus working out the hysteretic curves, dynamic shear modulus curves and damping ratio curves of GCRSM under four vertical consolidation pressure and five different horizontal strain amplitude. Test results show that：In the 60 cycle single shears, there is an evident influence of cycle times on the rubber sand with a low ratio and low vertical consolidation pressure. With the increase of the cycle numbers, the ability of energy absorption and the efficiency of shock absorption of GCRSM is decreasing and the ability of plastic deformation is decreasing. The cycle numbers have an increasing effect on the shear modulus of small shear reinforced rubber sand and have a slightly decreasing effect on the large shear strain. When the vertical stress is relatively small, the effect of the cycle numbers on the dynamic shear modulus is unstable with a fluctuation. When the vertical consolidation pressure is relatively small, the number of cycles is smaller with a stable damping ratio curve. When the vertical consolidation pressure is large, the number of cycles is larger with a stable damping ratio curve.