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In marine seismic data processing��both reflective and diffractive multiple waves exsist in seismic data�� Because the energy of diffractive multiple wave is weaker than reflective multiple wave and shows nonstationary characteristics��it is difficult to remove in conventional SRME method��which affects the following data analysis�� The authors separate the seismic data with the two kinds of multiple waves��predict multiple waves using SRME�� and finally match different multiple waves��especially nonstationary diffractive multiple waves through adaptive subtraction method�� Testing of Sigsbee 2B model shows that reflective and different diffractive multiple waves can be eliminated effectively at the same time compared with the ideal infinite-model data without multiple waves��