NiTi　shape　memory　alloys　(SMAs)　with　marked　hysteresis　between　the　forward　and　reverse　martensitic　transformations　are　attractive　for　the　applications　in　passive　damping.　However,　the　stress　hysteresis　of　NiTi　SMAs　is　usually　150-300　MPa,　limiting　their　energy　dissipation　to　similar　to　10　MJ/m(3).　Here,　we　designed　a　bulk　Nb/NiTi　laminate　composite　with　a　reversible　energy　dissipation　capacity　of　similar　to　30　MJ/m(3)　and　a　plateau　strength　of　similar　to　750　MPa,　which　are　outstanding　among　the　common　bulk　energy　dissipation　materials.　This　high　performance　is　attributed　to　the　strong　interaction　between　the　pseudoelastic　NiTi　and　the　non-pseudoelastic　Nb　lamellae　within　the　composite.　The　intrinsically　plastic　Nb　layers　deform　in　a　pseudo-super　elastic　manner,　involving　elastic　lattice　deformation,　reversible　motion　of　dislocations,　and　reversed　plastic　deformation.　These　are　enabled　by　the　unique　phenomenon　of　lattice　strain　matching　the　martensitic　transforming.　This　study　offers　a　new　pathway　for　the　design　of　high　energy　dissipated　bulk　materials.