The　direct　method　is　always　adopted　to　analyze　sensitivity　of　displacement　amplitude　with　frequency　response,　the　partial　derivatives　with　respect　to　a　single　design　variable　can　be　obtained　from　a　sensitivity　analysis,　thus　it　is　not　suitable　for　the　topology　optimization　with　many　design　variables.　An　adjoint　method　for　sensitivity　analysis　of　displacement　amplitude　with　frequency　response　is　developed　and　the　partial　derivatives　with　respect　to　all　design　variables　can　be　obtained　via　a　sensitivity　analysis.　The　numerical　examples　reveal　that　the　results　from　the　adjoint　method　agree　with　those　from　direct　method　and　difference　method　very　well　with　a　lighter　computing　task.