As to the problem of rapid attenuation of predictive orbit precision got by dynamics model,a new method of satellite orbit prediction based on Artificial Neural Network (ANN) model was proposed.we attemped to make use of ANN as the tool of constituting orbit prediction model,search the rule of orbit prediction,then utilize ANN model to compensate the orbit prediction error.The short-term,middle-term and long-term forcast project were established.The experiment results showed that,the rates of improvement of predicting 4、8 days were respectively 40.14%~64.67%、56.13%~73.02%.The orbit prediction error control technique was brought forward,because the probability of success was not 100%.The ANN model was effective to improve orbit prediction for satellites in COMPASS navigation system.