Traditional normal moveout (NMO) method not only suffers from severe stretching distortion on shallow and far offset traces, but also is particularly sensitive to NMO velocity. Based on the latest reflection seismic interferometry, this paper introduces the third-order cumulant in NMO process to solve above-mentioned issues. The method expands the application scope and is a more universal expression of traditional seismic interferometry in theory. This article first provides a rigorous theoretical derivation, then tests and verifies its noise resistance using model data, and finally applies it to field data in western China. The results show that the proposed method solves the problem of stretching distortions in far offset gathers without the need of correction velocity, and has better noise suppression effect compared with other two methods.