This paper proposes an iterative regularization denoising method based on Osher-Sole-Vese (OSV) model for medical image denoising. By using iterative regularization,the oscillating patterns of texture and details are added back to fit and compute the original OSV model,and the iterative behavior avoids overfull smoothing while denoising the features of textures and details to a certain extent. In addition,the iterative procedure is proposed in this paper. Experimental results show that the proposed method can achieve a better result in preserveing the texture and details for medical image denoising.