Ink and paper was equivalent to absorbing film. Clapper-Yule color prediction film model for halftone logo printing was established using absorbing film theory and considering multiple internal reflection and transverse propagation of light in paper-based ink. Through numerical calculation and comparison with experimental value, it was proved that the prediction precision of the new model is apparently higher than Murray-Davies model and the dark problem of classical Clapper-Yule model was solved by the new model.