It is an important problem to predict the color of print accurately for printing. A new spectral reflection prediction model for print was established by introducing a fluorescence excitated function based on radiant transfer theory which can describe the phenomenon of the flux scattering and absorbing on the surface of ink as well as in the ink layer. The new model corrected the problem of Kubelka-Munk model for error prediction on the reflectance of blue and violet wave band. The new model can be used for developing computer spectral color matching systems and high-quality simulated printing system.