Image restorations with sparse representation theory have drawn considerable interest in recent years. In this paper, considering the inter-pixel relationship among the R, G and B planes, we extend the joint sparse model to restore the color images. The objective is to achieve the colors of the restored images more natural than that of the reconstructing results with the method by restoring different color planes individually. In experimental section, the extended joint sparse model is applied to restore the corrupted color images by additive G...