Based on the Snell’s law,we propose in this paper a new algorithm to calculate the seismic traveltimes using the higher order optimum Taylor seires.A numerical example shows that this method has higher accuracy in calculating the traveltimes both in the positive and negative gradient velocity models than the conventional method.We use this method for prestack time migration of seismic data acquired in the complicated mountain area of the Northeast Sichuan and obtain the agreeable results.