A　high-order(HO)　three　dimensional　numerical　manifold　method　(HO3DNMM)　is　proposed.　In　the　present　numerical　model,　HO　global　displacement　function　can　be　built　without　using　extra　nodal　DOFs/nodes.　Additionally,　continuous　stresses/strains　among　inter-element　faces　can　be　obtained　with　the　HO3DNMM　without　using　any　stress　smoothing　technique.　A　number　of　numerical　examples　have　been　adopted　to　investigate　the　properties　of　the　proposed　HO3DNMM.　Numerical　results　assessed　from　the　HO3DNMM　indicate　that　1)　HO3DNMM　doesn＇t　suffer　from　the　LD　(linear　dependence)　issue;　2)　For　discretized　model　with　regular　meshes,　accuracy　of　the　HO3DNMM　is　much　better　than　that　of　the　T3DNMM　(traditional　3DNMM);　3)　HO3DNMM　is　immune　from　the　mesh　distortion,　which　is　a　very　attractive　property　as　compared　to　the　T3DNMM.