In this paper,a three-layer artificial neural networks were applied to simultaneous determination of molybdenum and chromium by spectrophotometry. The apparent molar absorptivities of the complex of molybdenum and chromium are 1.4 x 10(5) L . mol(-1) . cm(-1) and 3.7 x 10(4) L . mol(-1) . cm(-1), respectively. A method has been developed for simultaneous determination of molybdenum and chromium in steel with satisfactory results. The paralysis in the procedure of training about ANN has been avoided with the improved back propagation algorithms. The simple transformation method for target vectors and criterion function convenient for selection of the parameters about the networks has been put foward.