Tall　buildings　are　at　risk　of　experiencing　vibrations　induced　by　the　wind　because　of　their　long　fundamental　periods　and　low　inherent　damping.　These　excessive　vibrations　can　threaten　the　structural　safety　and　the　comfort　of　residents.　For　this　reason,　pendulum　tuned　mass　dampers　(PTMDs)　are　commonly　employed　to　reduce　the　adverse　vibrations　of　high-rise　buildings.　However,　their　applications　are　often　accompanied　by　concerns　over　the　large　auxiliary　mass　required　and　overabundant　swing　angles.　To　tackle　the　above　issues,　this　study　investigates　the　potential　of　using　inerters　to　enhance　the　conventional　PTMDs　for　achieving　more　effective　wind-induced　vibration　mitigation　performance　of　high-rise　buildings.　In　particular,　the　concepts　and　working　mechanisms　of　two　nonlinear　pendulum　tuned　mass　damper　inerters　(NPTMDIs)　with　different　configurations　are　first　presented.　Subsequently,　the　analytical　models　of　a　high-rise　building　equipped　with　NPTMDIs　are　established,　and　the　optimal　parameters　of　NPTMDIs　are　obtained　via　genetic　algorithm　by　minimizing　the　maximum　top-floor　absolute　acceleration　of　the　building　structure.　Ultimately,　the　vibration　control　effectiveness　of　the　two　NPTMDIs　is　evaluated　and　contrasted　with　that　of　a　conventional　PTMD.　Moreover,　the　robustness　of　NPTMDIs　against　structure　and　device　parameter　variations　is　also　comprehensively　evaluated.　The　results　demonstrate　that　NPTMDIs　demonstrate　greater　effectiveness　compared　to　PTMD　in　mitigating　the　wind-induced　responses　of　the　high-rise　building　with　much　smaller　swing　angles　of　the　tip　mass,　and　they　exhibit　better　robustness　against　the　mistuning　issue　induced　by　the　perturbations　of　structural　stiffness　and　damping.　Besides,　compared　to　NPTMDI　with　configuration　Ⅱ,　the　vibration　control　effectiveness　and　robustness　of　NPTMDI　I　are　more　significant.　©　2025　Institution　of　Structural　Engineers