The classic Nishihara rheological model can better describe the former two stages of creep process of rock,but can＇t describe the accelerated creep stage.The most of predecessors made yield strength threshold to define the accelerated creep stage in the rheological model improvement and combination,but the researches on using time threshold to define the accelerated creep stage were relatively few.In this paper a time element which can reflect the accelerated creep loading time and a nonlinear clay pot which can describe the accelerated creep curve are introduced.Their parallel connection called TN combined with traditional Nishihara model,formed a nonlinear viscoelastic-plasticity rheological model that can describe the attenuation creep,steady creep and accelerated creep.Finally,fitting the new model and the actual experimental data,the similarity coefficient is higher than 0.99.The model is more suitable to describe the rock rheological phenomenon.