A new spectral prediction model for second order FM halftone prints was developed. Taking into account physical dot gain caused by ink spreading in different ink superposition, we first used YNSN model to predict spectrum of the target composed of second order FM halftone, then calculated color values, last compared color values with the measured values. The experimental result showed that the mean and max ΔE difference between measured values and the values predicted by the new model taken into account ink spreading are 2.46 and 5.86. In contrast with to the color difference predicted by the model not taken into account ink spreading, the new spectral prediction model for second order FM halftone prints has better prediction accuracy.