Abstract: Transient Stimulated Brillouin Scattering (SBS) coupled equations are solved for onedimension approximation. Through numerical study, dependence of influence induced by SBS procession on parameters of laser and medium is investigated respectively. The ralationship between pulse duration, interaction length and the damage threshold is discussed in terms of the stress and reflectivity built in SBS procession. Find out a better configuration of parameters to restrain the damage induced by SBS procession. We can get the conclusion that temporal variation of stree field in the SBS medium with different size follows the same rule when interaction length is less than some value; a greatest interaction length which SBS medium is easy to be damaged is existent; and we also find that we can obtain