Abstract：Rock mass will be damaged and then fractured further because it is subjected to unloading，and it¢s necessary to consider the damage and creep of rock mass. Taking damage as a component by summarizing and concluding the previous accomplishments and considering damage of rock mass，an elastic-plastic-viscous damage mechanical model is set up，and the constitutive equation is deduced in two different action conditions(If is less than ，the elastic-plastic-viscous damage model of rock mass will be applied，or the plastic-viscous damage model will be applied.). Then，the mechanical characteristics are analyzed，and the corresponding creep curve of rock mass creep damage is given out. Lastly，equivalent modulus of deformation of calculation formula is set up. The elastic-plastic-viscous damage model of rock mass established is applied to the Geheyan engineering and the equivalent modulus of deformation set up is used to calculate the creep of rock mass of high-steep slope in Geheyan power plant. The final creep of this slope is predicted and compared with the motoring displacement. The calculated result is compatible with the trend of the motoring deformation curve though the numerical value has certain differences，which proved the applicability of the model.
