On the basis of the mechanism of rock creep, the rock creep process was regarded as the superposition of linear and nonlinear rock creep process according to its phase characteristic. An elastic-plasticity damage cell model, which can describe the nonlinear or accelerated rock creep process, was developed by introducing the damage theory and the law of damage proposed by Kachanov. Connected with Kelvin cell model, which can preferably simulate the linear or the decelerated rock creep process, a rock creep model reflecting the features of the full rock creep process was obtained. The accelerated rock creep process was established and its simple and feasible parameter determination method was put forward. A new technique simulating the full rock creep process was developed, which can simulate the rock deformation process from decelerated to accelerated creep, and its parameters are few and easy to be determined. Finally, it shows that the model or technique proposed is reasonable and feasible after a comparison between the model and the experimental curves.