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The training learning speed of BP neural network is slow, and is easy to fall into local minimum value, the paper uses LM algorithm fusion Gauss - Newton method and the quickness of gradient descent method advantages. It is global random search strong advantage by making full use of the Genetic Algorithm, to build the three layers of the type 5-6-1 - LM - structure of BP neural network. The GA optimizes the BP neural network's initial weights and thresholds, reduces the risk of BP neural network into a local minimum value. The results show the validity of the proposed method.