Aimed at som limitation of ordinary BP neural network,an algorithm based on simulated annealing Levenberg-Marquardt algorithm applied to the neural network which predicts originally.On the same initial conditions,the neural network based on simulated anneling Levenberg-Marquardt algorithm with the neural network based on Levenberg-Marquardt algorithm are compared,and the characteristic and excellence of the former:higer precision and global optimization are explained.Experiments include normal functon show that the algorihm in this paper is practicble and effecive.