Recent　attempts　to　solve　solid　mechanical　problems　using　the　numerical　manifold　method　(NMM)　are　very　fruitful.　In　the　present　work,　a　high-order　numerical　manifold　method　(HONMM)　which　is　able　to　obtain　continuous　stress/strain　field　is　proposed.　By　employing　the　same　discretized　model　as　the　traditional　NMM　(TNMM),　the　proposed　HONMM　can　yield　much　better　accuracy　without　increasing　the　number　of　degrees　of　freedom　(DOFs),　and　obtain　continuous　stress/strain　field　without　recourse　any　stress　smoothing　operation　in　the　post-processing　stage.　In　addition,　the　＂linear　dependence＂　(LD)　issue　does　not　exist　in　the　HONMM,　and　traditional　equation　solvers　can　be　employed　to　solve　the　simultaneous　algebraic　equations.　A　number　of　numerical　examples　including　four　linear　elastic　continuous　problems　and　five　cracked　problems　are　solved　with　the　proposed　method.　The　results　show　that　the　proposed　HONMM　performs　much　better　than　the　TNMM.　(C)　2019　Elsevier　Inc.　All　rights　reserved.