The　theoretical　derivation　from　Part　I　(Jiang　et　al.,　2015)　has　obtained　the　core　contact　force　and　the　bending　moment　distribution　of　the　external　member　in　the　single-wave　core　deformation　mode.　In　addition,　the　design　criteria　of　the　external　member　and　the　strengthened　core　region　(SCR)　have　also　been　obtained　based　on　the　understanding　of　the　mechanical　characteristics　of　the　buckling-restrained　brace　(BRB).　Based　on　the　theoretical　results　from　Part　I,　this　study　conducts　the　corresponding　finite　element　(FE)　numerical　verification,　and　the　BRB　parameter　analysis　is　also　performed　when　the　core　deforms　as　a　single-wave　deformation.　The　influence　of　nine　parameters　on　the　core　contact　force　and　the　external　member　stress　is　investigated.　These　parameters　include　the　flexural　rigidity　of　external　member,　the　initial　imperfection　of　external　member,　the　core　thickness　and　its　width-to-thickness　ratio,　the　pinned　connector　length,　the　external　member　length,　the　length　of　restrained　strengthened　core　region　with　uniform　section　and　the　height　of　the　wing-plate　of　the　SCR,　as　well　as　the　gap　between　the　core　and　the　external　member.　Lastly,　the　12　examples　of　BRBs　that　are　designed　according　to　the　proposed　design　criteria　are　analyzed　using　FE　simulation,　and　the　reliability　of　the　theoretical　derivation　is　also　verified.