Based on predecessors′studies on damage of coal and the random statistical distribution hypothesis of rock strength,a statistical 2 - segment constitutive model for rock damage under uniaxial compression,which can reflect the strength in initial compressive and the residual strength of rock,was established by use of continuous strength theory and statistical theory,and the method to determine the parameters of the statistical damage constitutive model of rock was given. The uniaxial compressive tests of coal were carried out using rigid testing system,and the relation between damage and stress - strain curves of the coal samples under uniaxial compression were analyzed. The parameters of established damage constitutive model were solved by using practical complex method. The fitting results showed that theoretical result is in good agreement with the data from experiments.