Block matching electronic image stabilization algorithm is a stable algorithm with high precision.Block matching algorithm reiteratively calculates the difference of the two image blocks,from the starting point to the matched point in the interesting area.Huge computering work is the main problem preventing the application of the block matching algorithm.Time series prediction method is used to estimate the optimal starting point,in order to reduce the search time.Proper time series model is selected according to the inner statistical properties of the global motion vector,then the model parameter is estimated and the model is checked by residual analysis.The time series model and historical data are used to predict the current global motion vector,which is set as the starting point.The experiments show that this method can reduce the hunting range effectively,making the matching process more quick,and it can be adopted by the other electronic image stabilization algorithms.