A colorimetric characterization model based on cell-search method with tetrahedral interpolation was proposed to improve the precision of the color conversion model for monitors. The lookup table data was divided into cells to find the cube space of the target color by cell-search method, and the color space conversion from CIE Lab space to RGB space was realized by using the tetrahedral inverse interpolation. The experimental data of the tested color samples showed that the proposed model had high precision accuracy with the mean color difference of 0.95 CIE Lab, and color differences of 94% color samples were less than 3 CIE Lab units. The result of data in new model was superior to the existing literature algorithm results and the proposed colorimetric characterization model could realize the accurate conversion of monitor's color spaces.