Inspired　by　the　natural　hollow　structures,　periodic　lattice　structures　composed　of　hollow　struts　and　spheres　were　designed　and　fabricated　by　selective　laser　melting　(SLM)　process　with　316L　stainless　steel.　Two　architecture　configurations　with　Body-Centered　Cubic　(BCC)　and　Face-Centered　Cubic　(FCC)　symmetry　were　taken　into　consideration.　Finite　element　(FE)　simulations　based　on　representative　volume　element　(RVE)　models　and　cell-assembly　models　were　conducted　to　investigate　the　elastic　response　and　large　deformation　behavior　of　the　hollow　lattice　materials,　respectively.　Afterwards,　compression　experiments　were　carried　out　on　an　electronic　universal　machine　and　a　drop　hammer　(DH)　system　to　explore　the　quasi-static　and　dynamic　mechanical　response　of　the　lattice　specimens.　The　complete　deformation　evolutions　of　the　lattice　samples　under　different　loading　velocities　were　captured　through　high-resolution　photography　and　inspected　by　the　digital　imaging　correlation　(DIC)　analysis.　Both　the　experimental　research　and　numerical　simulations　demonstrated　that　the　hollow　beam　cross-sections　contributed　to　the　stable　crushing　response　of　the　proposed　lattice　structures　under　either　quasi-static　or　dynamic　compression.　Accordingly,　the　post-yield　behavior　of　the　tested　lattice　structures　was　quite　smooth　without　any　fluctuations.　Meanwhile,　the　specific　strength　and　energy　absorption　of　the　hollow　lattice　structures　were　found　to　be　superior　to　many　existed　lattice　materials　with　solid　struts,　and　comparable　with　the　reported　triply　periodic　minimal　surface　(TPMS)　lattice　structures.　Finally,　the　effect　of　the　geometric　characteristic　parameters　on　the　specific　mechanical　properties　of　the　lattice　structures　was　discussed　according　to　the　supplemental　analysis　by　numerical　simulations.　©　2022