Based on the results of the rheological test of monzogranites, the Biot coefficient was determined by cross-plotting method, the creep model based on permeation pressure damage was established on the basis of the generalized Bingham model, the creep parameters were determined by fitting the rock creep test data, and the parameters of the creep damage model were obtained. The creep constitutive equation of the model was deduced, and the data of the rock creep test were fitted with this model.The fitting results show that the model can not only describe the the decay creep and steady-state creep stage, but also describe the accelerated creep stage of the rock, thus proving the feasibility and rationality of the model.