As　a　newly-developed　damper　system,　negative　stiffness　amplifying　damper　(NSAD)　is　validated　to　be　of　high　efficiency.　Compared　to　the　strategy　of　arranging　multiple　NSADs　at　multi-stories　with　much　labor　cost　and　sophisticated　designing　methodologies,　this　paper　proposed　a　novel　but　simple　strategy　of　using　a　single　NSAD　and　a　rocking　wall　(RW),　where　a　global　response　control　effect　can　be　achieved.　Seismic　responses　of　typical　steel　frames　with　different　NSAD　and　RW　arrangement　were　first　demonstrated　in　this　study.　Parametric　study　was　conducted　to　find　optimized　design　parameters　of　this　system.　Specifically,　the　larger　the　support　stiffness　the　more　significant　displacement　reduction　can　be　achieved　at　the　optimal　damping　ratios,　which　are　in　the　range　of　1.0–2.0　for　all　cases.　To　avoid　excessive　displacement　amplification　effect,　absolute　values　of　negative　stiffness　ratios　not　exceeding　0.3　are　recommended.　The　optimal　damping　ratio　is　in　the　range　of　10−0.5　to　10°.1　(i.e.,　0.32　to　1.26).　On　the　other　hand,　the　larger　the　support　stiffness　and　absolute　value　of　negative　stiffness,　the　more　significant　acceleration　reduction　can　be　achieved.　Large　adaptive　NSAD　displacement　ratio,　say　larger　than　1.5,　should　be　avoided　from　the　perspective　of　reducing　structural　displacement　responses.　©　2022　Elsevier　Ltd