For the W-Mo-Ti-Mg composition, we present an exponential formula of each layer’s thickness of the graded impedance impactor, and the thickness of each layer increases with the impedance. For the 20 layers quasi-continuum graded impedance impactor, we present the computational results of complexity loading and quasi-isentropic compression of 1.0mm thickness copper sample under 2 different impedance distributions. By adding several layers of lower impedance materials at the end of the impactor, the shockless compression to the copper sample is achieved.