A fast inpainting algorithm of curvature driven diffusions (CDD) model is proposed. It is known that the curvature term requires a large number of iterations in solving the high order partial differential equation in original CDD model. Due to the success of the Split Bregman method in L1 regularization problem,it is introduced into the CDD model to speed up the algorithm. The experiments show that the new algorithm is much faster and has better vision effects than other similar methods.