Based on the quasi-steady stimulated Brillouin scattering theory, the nonlinear propagation of 1.064μm, YAG nanosecond pulsed light was analyzed numerically and treated with a theoretical model that includes the spontaneous nature of the initiation of stimulated Brillouin scattering(SBS). Then the pulse propagation and power limiting effects (including both power limiting and energy limiting) were obtained in the SBS process. The temporal pulse reshaping and power limiting have been given graphically on SBS mechanism with a nonlinear medium CCl4 for various pump energies and pulse-width (10ns). The power transmission properties and delay time of the power limiting effect depending on pump energy were given theoretically. And the influence of pump energy on the transmitted pulse profiles and delay time were investigated experimentally. The numerical simulations of transmitted pulse characteristics were in good agreement with the experimental results.