It is difficult for normal moveout ( NMO) correction of shallow long offset of vertical transversely isotropic medium，as seismic event after conventional NMO correction experienced strong stretching and distortion due to interleaving of signal． Even using higher order non-hyperbolic NMO correction，it still cannot get the right results． This paper aims to improve the accuracy of NMO correction． Based on the analysis of conventional NMO correction method and previous optimization move-out equation，we use longitudinal optimization method to correct seismic event． The results of the theoretical model and the real data show that our method can completely remove NMO stretching and greatly improve correction accuracy．