Based　on　analysis　of　the　asymmetrical　hysteretic　nonlinearity　of　materials,　a　piecewise　linear　asymmetrical　hysteretic　model　was　built.　By　using　harmonic　linearization　method,　the　nonlinear　hysteretic　restoring　force　was　expressed　as　the　combined　force　due　to　equivalent　damping　and　equivalent　stiffness.　The　response　of　two-DOF　vibrating　compaction　system　was　derived　by　optimal　approach.　Numerical　simulation　result　shows　that　the　variation　of　parameters　influences　the　dynamic　response　of　system　and　the　resonance　frequency　of　system　decreases　along　with　the　increase　of　excitation　amplitude　due　to　the　hysteretic　nonlinearity.