To solve the question that the realizable linear filter in physics is not considered in the simulation of the Weibull-distributed clutter, firstly,this paper studies the statistic characteristic of the clutter model and the simulation method of ZMNL(zero memory nonlinearity).Then adopting minimum phase feature and complex cepstrum technology, this paper proposes the technique for the realizable filter in physics.Then the method of generation of random Weibull-distributed sequences is set forth profoundly.Finally,the simulation is carried out and the results prove the validity and veracity of the method proposed in this paper. The clutter generated by this method can be used in the simulation of radar signal,analysis of radar image and optimization of radar signal processor.