The improvement of the capability to detect moving target with very small radar signature is usually realized by long time integration.However,the envelope migration which caused by target motion will influence the performance of the coherent integration.First the effect of envelope migration is analyzed.Then a new method based on frequency domain correction is presented to solve the problem.The principle and step of the method is analyzed and the effect is proved by simulation.Finally the operation amount is analyzed and the result shows that operation amount of the method is lower than other methods.