The denoising method based on partial differential equation (PDE) has been proven to be a calculable method and used widely, but it is not good at protecting image detail information and results in staircase effect. To improve the above shortcomings, a PDE image denoising model based on a structure tensor matrix is proposed and explained in this work. Combining two different regular terms and adjusting their proportion, the proposed model uses the eigenvalues of the structure tensor to take the norm parameter value of the second regular term. The experiment results show that the proposed model introduced structure tensor can protect details and suppress the staircase effect effectively, thus obtaining satisfying denoising results.