In order to study the effect of rubber on the mechanical properties of rubberized self-compacting concrete (RSCC) and establish the corresponding constitutive prediction model,compressive stress-strain experiment for RSCC was carried out，and the experimental results showed that with the increase of rubber content，the compressive strength of RSCC reduces，the deformation ability enhances and the toughness increases.Through considering the relation between model parameters and rubber content，a statistical damage constitutive relation of RSCC whose change factor is rubber content was established according to the assumption that the micro-unit strength of RSCC is of random distribution and Mises strength criterion，the distribution model of micro-unit strength of RSCC is of logarithmic normal distribution，whose fitting effect is very ideal，the correlation coefficients of fitting curves and test curves increase with the increase of rubber content，whose maximum value is 0.989 1.This model has a few parameters and is easy in calculation，which can effectively reflect the transformation characteristics of toughness and brittleness of RSCC in different rubber contents. Finally，the damage evolution process of RSCC was studied.With the increase of strain，the damage evolution curves of RSCC are in a shape of S and monotonically increase，whose final values tend to 1，and the increase of rubber content delays the development of initial damage of RSCC；the development rate of damage first increases and then decreases with increase of strain，which reaches the maximum near the peak strain，and the change of rubber content has no influence on the maximum of the development rate of damage.
