In　this　paper,　a　nonlinear　analytical　model　is　presented　for　the　low-velocity　collision　impact　of　a　sandwich　plate　with　auxetic　honeycomb-core　layer.　The　auxetic　feature　of　the　honeycomb　material　is　realized　by　mathematically　expressing　the　effective　material　coefficients　in　terms　of　material　property　and　cellular　geometric　parameters　through　a　homogenization　method.　The　higher　order　shear　deformation　theory,　the　von　Karman　nonlinearity　theory,　and　a　modified　Hertz　contact　law　which　accounts　for　the　contact　pressure　distribution　and　indentation　effect,　are　employed　to　establish　the　kinematic　relations.　The　Newmark　time　integration　scheme　in　conjunction　with　the　direct　iterative　method　is　utilized　to　establish　a　solution　procedure　for　the　nonlinear　dynamic　governing　equation.　The　verification　of　the　presented　model　with　the　data　in　published　literatures　is　carried　out,　followed　by　a　series　of　numerical　analyses　for　influences　of　cellular　geometric　features　and　impactor＇s　initial　conditions　(such　as　impactor＇s　initial　velocity,　mass,　and　nose　curvature　radius)　on　the　nonlinear　dynamic　response.　The　results　of　numerical　analyses　show　that　the　geometric　features　of　the　unit　cell　in　the　honeycomb-core　and　impactor＇s　initial　conditions　can　cause　significant　influences　on　the　nonlinear　collision　impact　behaviors　of　the　system.