Using an incoherent scattering density function in the statistical sense to satisfy the hypothesis of sparse priori, the compressive holography of diffuse objects can realize the tomographic reconstruction of diffuse objects from multiple speckle patterns, avoiding speckle and crosstalk among defocusing images in different planes. In this paper, a single-wavelength illumination condition is extended to the red, green, and blue wavelengths. A new compressive holographic tomography method for color diffuse objects is proposed. A tomography model of diffuse objects under multi-wavelength illumination conditions is proposed, and the decompression reasoning method is used to effectively separate the three-dimensional incoherent density functions of different planes. The numerical simulation results show that the method can realize compressive reconstruction of the color tomography diffuse object from multiple two-dimensional color speckle patterns, and effectively suppress the speckle effect and crosstalk among defocusing images in different planes.