In　this　paper,　a　refined　asymptotic　perturbation　method　for　general　nonlinear　dynamical　systems　is　proposed　for　the　first　time.　This　method　can　be　considered　as　an　alternative　means　for　the　traditional　multiple　scales　method.　Moreover,　it　is　easier　to　be　understood　and　used　to　carry　out　higher-order　perturbation　analysis.　In　addition,　three　examples　including　the　Duffing　equation,　a　system　with　quadratic　and　cubic　nonlinearities　to　a　subharmonic　excitation,　as　well　as　the　coupled　van　der　Pol　oscillator　with　parametrical　excitations　are　investigated　to　illustrate　the　validity　and　usefulness　of　the　proposed　technique.　The　analytical　and　numerical　results　show　good　agreement.