The accelerated method of solving non-linear equation with fixed-point iteration method is used for improving GS algorithm.A diffraction optical element (DOE) with 16 levels for Gaussian beam shaping into two circular planes is designed with the improved GS algorithm.The computed results indicate that the Sum-square error of the diffraction optical element designed with the improved GS algorithm dropped by 33.05% while the coupling index increased 0.68% compared with that designed with GS algorithm.The coraputed results also indicate that the improved GS algorithm is less sensitive to iterative initial value and can search more accurate results in broader range than GS algorithm.