In this paper，the image restoration problem is studied with a given blurred image and a noisy image.We propose a new algorithm combining a TV-L1 de-noising model with a total variational deblurring model.In our algorithm，we use TV-L1 model to de-noise the noisy image in the first； Then we use the TV model to deblur the blurred image by taking the de-noised result obtained in the secod step as the initial value of the next iteration； Finally，they use TV-L1 model again to de-noise the noisy image by taking the de-blurred result got in the second step as the initial value of the next iteration...，and so on.Experimental results tell us that our new algorithm not only inherits the advantage of edge preserving of the TV-L1 model and the TV model，but also overcomes its’ disadvantage of degrading the contrast of image.