Based on conventional GS algorithm,an accuracy and fast algorithm for phase retrieval is presented. This algorithm,which can be called the accelerated angular spectrum iterative approad,induces a gradient by using the angular transfer functions. The intensity distribution of three planes,e.g. an incident plane and two emergent planes,is employed to retriere the phase distribution of incident optical field. The simulation result shows this algorithm can retrieve the phase distribution of an arbitrary two-dimensional incident optical field in high accuracy. The retrieval accuracy of complicated optical field is greatly enhanced. Robustness and sensibility of this algorithm are evaluated and the algorithm exhibits good convergence.