Abstract: An anisotropic damage model is established to describe the damage evolution characteristics of remaining rock masses in geotechnical engineering. A second-order tensor is chosen as the damage variable. Then the expression of damage-dependent elasticity tensor is deduced and the constitutive equations of damaged rock are built by using an equivalent state. The damage threshold is regularized in order to reflect strain-rate sensitivity of rock materials under impact load. The results of research indicate that damage model can simulate damage characteristics of rock materials under impact load and provide theoretical evidences for stability analysis of rock that has been disturbed by impact load in geotechnical engineering.