Abstract:Road traffic accident prediction is an important technology to guarantee the safety of road, the given road traffic accident prediction method has the low prediction accuracy and low convergence speed, therefore, a prediction method based on grey Verhulst model and HMM is proposed.Firstly, the grey Verhulst model is used to predict the state of the next time, the least square method is used estimate the parameters of the model, the predicting result is used to initialize the HMM model, and the forward and backward algorithm are designed to train the HMM model, and the final initial distribution matrix, state transferring probability and observing probability distribution matrix, and the final HMM model can be used to predict the traffic accident. The simulation result shows the method in this paper can effectively realize the traffic accident prediction, and compared with the other methods, it has the high predicting accuracy and quick convergence speed.Therefore, it has big priority.