Lattice　materials　are　widely　used　in　engineering　structures　as　their　potential　for　multifunctional　applications.　In　this　study,　a　body-centered　cubic　(BCC)　stretching-bending　synergistic　lattice　material　is　constructed　based　on　the　face-centered　cubic　with　vertical　struts　(FCCZ)　stretching　configuration　that　has　both　stretching　and　bending　deformation　mechanisms.　Finite　element　models　and　equivalent　models　are　established　to　investigate　the　mechanical　properties　of　the　stretching-bending　synergistic　lattice　material.　The　effect　of　the　relative　density　of　the　frame　unit　cell　is　studied.　The　results　show　that　the　finite　element　model　agrees　well　with　the　calculated　results　of　the　equivalent　model.　The　stiffness　of　the　stretching-bending　synergistic　lattice　material　is　significantly　increased　with　the　increase　of　the　relative　density　of　the　frame　unit　cell.　The　findings　of　this　work　provide　a　reference　for　predicting　and　optimizing　the　mechanical　properties　of　the　stretching-bending　synergistic　lattice　materials.　©　Published　under　licence　by　IOP　Publishing　Ltd.