The　equivalent　mechanical　properties　of　pyramidal　lattice　materials　were　established　by　theoretical　analysis　and　numerical　simulation.　According　to　the　deformation　of　pyramidal　unit　cells　and　multi-layered　pyramidal　materials　under　the　action　of　vertical,　horizontal,　and　shear　forces,　the　equivalent　elastic　modulus,　equivalent　shear　modulus,　and　equivalent　Poisson＇s　ratios　of　pyramidal　lattice　materials　in　three　main　directions　were　derived.　The　influence　of　the　unit　cell　parameters　on　the　equivalent　elastic　modulus,　shear　modulus,　and　Poisson＇s　ratios　were　analyzed　at　constant　relative　density　of　the　material.　With　the　increase　of　the　inclination　angle　of　the　strut,　the　equivalent　elastic　modulus　in　the　z-direction(E-z)　increases,　and　the　equivalent　elastic　modulus　in　the　x-direction(E-x)　and　y-direction(E-y)　first　increases　and　then　decreases;　the　equivalent　shear　modulus　in　the　x-y　plane　(G(xy))　decreases,　while　the　equivalent　shear　modulus　in　the　x-z　plane　(G(xz))　and　y-z　plane　(G(yz))　first　increases　and　then　decreases;　the　equivalent　Poisson＇s　ratios　nu(zx),　nu(zy)　increases,　while　nu(xy),　nu(yx),　nu(xz),　nu(yz)　decreases.　The　size　of　the　unit　cell　did　not　affect　the　equivalent　elastic　properties　of　the　material,　and　the　axial　and　flexural　deformations　of　the　struts　are　considered　in　displacement　calculation.　The　solutions　of　analytical　and　numerical　of　the　equivalent　mechanical　parameters　were　very　close,　and　the　results　of　the　equivalent　model　agree　well　with　the　exact　numerical　model　results,　which　proves　the　rationality　of　the　homogenized　equivalent　method　and　can　realize　the　cross-scale　characterization　and　analysis　of　the　pyramidal　lattice　materials.