A nonlinear parametric feedback control is propo sed to modify the steady-state resonance responses, thus to reduce the amplitude of the response and to eliminate the saddle-node bifurcations that take place i n the resonance responses. The nonlinear gain of the feedback control is determi ned by analyzing the bifurcation function associated with the corresponding freq uency-response equation and the Jacobian matrix. It is shown by illustrative exa mples that the proposed nonlinear feedback is effective for controlling superhar monic resonance responses.