A method for attenuating multiple reflections in seismic signals includes coherency filtering the seismic signals. The seismic signals are low pass filtered and high pass filtered seismic signals at a frequency selected such that substantially only multiple reflections exist in the seismic signals above the frequency. A mask is generated having unity value where the high pass filtered signal amplitude exceeds a selected threshold. The mask has unity zero value for all other filtered signals. The mask value is multiplied by the low pass filtered signals. The multiplied signals are added to the high pass filtered signals and a coherency filter is applied to remove remaining primary energy to generate a model of the multiple reflections. The multiple reflection model is subtracted from the coherency filtered seismic signals.