When the ink penetration in paper was ignored, the single color solid print was treated as a multilayer structure. It was made by the superposition of multiple layers, which were solid ink layer, paper layer, paper-air interface layer, ink-air interface layer, etc. Taking into consideration the translucency of paper and the non-optical contact between the paper and the background, this paper established a color prediction model for single color solid prints. Firstly, the multilayer structure of single color solid prints was described and the transfer equations of light fluxes traveling between different layers were listed. Secondly, by making use of the spectral reflectance measurements of single color solid prints with different backgrounds, the optical parameters of the paper layer and the solid ink layer were fitted out. Lastly, the spectral reflectance of single color solid prints was predicted with other backgrounds. The predicted color differences of all samples according to the CIEDE2000 were smaller than 2 in experiments, which means that the proposed model can accurately predict the color of single color solid prints without measuring the refractive index of papers and inks as long as the adequate number of opaque backgrounds can be provided.