Abstract: Waveform design algorithm based on ambiguity functions is researched. To the problem of weak delay-Doppler performance, firstly construct the desired ambiguity function which satisfy delay-Doppler performance and low autocorrelation, secondly diagonal loading approach has been used to insure correlation matrix positive definite. The difference between the designed ambiguity function and the desired one are used as criterion, the waveform design problem is transform to optimization problem, the unimodular sequences is got by Cyclic Algorithm. Simulation results showed that the proposed method had better delay-Doppler performance and low two dimension sidelobe level with weak loss in zeros Doppler sidelobe level, this method with rapid convergence rate.