Abstract: Since the coherency cube was introduced,many researchers have proposed different local discontinuity measures,such as eigenstructure-based coherency estimates,local structural entropy measure and the ratio of the second and the first eigenvalue.Local structural entropy measure in frequency division is put forward to detect local discontinuities of seismic data,by the virtue of the instantaneous attributes based on wavelet transform.The results of the real data demonstrate the effectiveness of local structural entropy measure on the basis of instantaneous frequency in division on detecting small discontinuities,which is of importance to field description.