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Color management for the printer is one of the key techniques in the color image reproduction. A new color management model is presented based on analyzing the printer color rendering principle. First, the paper takes standard color target for experimental sample, and substitutes color blocks in color shade district for complete color space. Second, data collecting method is introduced and some data bases for deducing the model are created. Then, BP network model is corrected to speed up model's convergence and a new model for printer color management based on the Legendre neural network is deduced and analyzed. Finally the experimental results show that the model can improve printer color management accuracy and can be used in its color management practically.