Based on a single SLS isotropic medium second-order pseudo-differential equation,the authors used the pseudo-spectral method to calculate numerical simulation.The authors propose introduction of regularization operator method to eliminate high-frequency instability caused by the backward propagation inverse process so as to build a stable reverse-time propagator and to achieve the amplitude compensating visco-acoustic medium least-squares reverse time migration.Marmousi model shows that,compared with least-squares reverse-time migration visco-acoustic least-squares reverse-time migration can correct the effect of viscosity and produce more accurate and better reliable amplitude preservation imaging section.