A novel p-Laplace equation model is proposed in this paper for image denoising. First, the p-Dirichlet integral and total variation are combined to create a new energy functional used to built an image denoising model. This model is the generalization of Rudin-Osher-Fatemi model and Chambolle-Lions model. Then the existence of the solution can be obtained by the good properties of some functions in the nonlinear evolution equation. The numerical experiments with different parameters are implemented at last. The simulation results show the accuracy and efficiency of our method.