Hybrid　lattice　compliant　mechanisms　(HLCMs)　composed　of　multiple　microstructures　have　attracted　widespread　interest　due　to　their　superior　compliant　performance　compared　to　the　traditional　solid　compliant　mechanisms.　A　novel　optimization　scheme　for　HLCMs　is　presented　using　the　independent　continuous　mapping　(ICM)　method.　Firstly,　the　effective　properties　of　multiple　orthogonal　and　anisotropic　lattice　microstructures　are　obtained　by　taking　advantage　of　homogenization　theory,　which　are　used　to　bridge　the　relationship　between　the　macrostructure　layout　and　microstructure　recognition.　Then,　a　new　parallel　topology　optimization　model　for　optimizing　HLCMs　is　built　via　a　generalized　multi-material,　recognizing　interpolation　scheme　with　filter　functions.　In　addition,　the　characterization　relationship　between　independent　continuous　variables　and　performance　of　different　elements　is　established.　Sensitivity　analysis　and　linear　programming　are　utilized　to　solve　the　optimal　model.　Lastly,　numerical　examples　with　a　displacement　inverter　mechanism　and　compliant　gripper　mechanism　demonstrate　the　effectiveness　of　the　proposed　method　for　designing　HLCMs　with　various　lattice　microstructures.　Anisotropic　lattice　microstructures　(ALMs)　significantly　facilitate　the　efficient　use　of　constitutive　properties　of　materials.　Hence,　HLCMs　consisting　of　various　ALMs　achieve　superior　compliant　performance　than　counterparts　comprising　different　orthogonal　lattice　microstructures　(OLMs).　The　presented　method　offers　a　reference　to　optimize　HLCMs,　as　well　as　promotes　the　theoretical　development　and　application　of　the　ICM　method.