A numerical method and an analytical method for study creation and decay of laser generated shock-wave in the target are presented on the basis of one-dimensional hydrodynamic model.The ablation presure is used as boundary condition.These methods permit the caculation of the three stages of shock-wave evolution.Three kinds of solid state material,such as Al,Cu and C/Ph are caculated.The maximum presure and shock-wave profile of each material are given out.