Following the recent work of J-F. Aujol and A. Chambolle, a decomposition model of grayscale images into three components (geometrical, texture and noise) has recently been proposed. Inspired by this work, J-F. Aujol and S. Ha Hung have introduced a new decomposition model for color images. This model splits an image into only two components: a geometrical component and a texture component.The major contribution of this paper is to add a noise component into the image decomposition model for color images in order to better separate texture from noise. Several numerical exemples illustrate the benefit of our approach.