Abstract: In this paper, an improved TV-Stokes image inpainting model is proposed based on the study of image inpainting. By analysing the properties of new model, an efficient and fast numerical algorithm is introduced. There are two variables in the new model, so it is firstly turned into two simple submodels by using alternating iteration method in the new algorithm, and then the two subproblems are solved using dual formulation and split Bregman method respectively. Experimental results show the new algorithm can not only get the better inpainting effect, but also improve the inpainting speed.