The color calibration in CRT(cathode ray tube) space is the base of color standard in computers.The color notation conversion from the RGB space of the CRT to the XYZ space of CIE system is carried out by using neural network.The neural network topology with a few neurons in two hidden layers,and quasiNewton method are applied.With the neural network based model,343 training set data and 216 verification set data according to the principle with LOG space and 64 data sets according to even distribution are used to verify the training results and test the modeling performance.The case study shows that the converging speed,the training time and the accuracy of the model with two hidden layers are very satisfactory.The average precision of the color notation conversion of the model established is less than 0.6 CIELUV unit.