A　novel　asymmetric　multiple-axis　hook-function-curve　(HFC)　flexure　hinge　(HFCFH)　with　higher　motion　precision　is　proposed.　For　obtaining　high-accuracy　compliance　and　motion　precision　models　of　multiple-axis　flexure　hinges,　a　brief　and　generalized　analytical　model　is　presented　by　using　the　finite　beam　based　matrix　modeling　(FBMM)　method.　It　can　be　used　to　quickly　obtain　the　compliance　and　precision　models　by　just　changing　the　notch　contour　functions.　The　comparative　results　prove　the　high　accuracy　and　efficiency　of　the　analytical　model.　For　a　much　fairer　comparison　of　motion　precision　between　flexure　hinges,　a　new　precision　model　is　proposed,　in　which　a　non-dimension　and　more　intuitive　precision　matrix　is　defined.　By　using　the　precision　model,　the　comparison　of　motion　precision　between　multiple-axis　HFCFHs　and　other　multiple-axis　flexure　hinges　indicates　that　asymmetric　flexure　hinges　have　higher　motion　precision,　and　multiple-axis　HFCFHs　also　have　higher　motion　precision　in　asymmetric　flexure　hinges.　Based　on　the　design　concept　of　hybrid　flexure　hinges,　eight　types　of　hybrid　multiple-axis　flexure　hinges　with　much　higher　performance　are　designed,　enriching　the　types　of　multiple-axis　flexure　hinges　and　providing　more　reference　for　the　selection　of　hinges　in　spatial　compliant　mechanisms.　©　IMechE　2024.