This paper quantificationally analyzes to the law of spectral reflections for color halftone prints. Based on the branch-path Clapper-Yule model of spectral reflection, the new spectral prediction model, taking into the optical dot gain account, has been established by introducing an optical dot gain parameter w to model the nonlinear relation between the dot area fraction and the reflectance of paper and ink. The numerical simulation of the new model shows that the prediction values are higher than the reflections of the branch-path Clapper-Yule model, which has modified the defect in the previous models. The reflections of paper and ink is the function of dot area fraction and optical dot gain parameter w, and the color of halftone prints predicted by the branch-path Clapper-Yule model must consider the effects of variation of dot area fraction and the optical dot gain parameter w on the reflections.