In　this　paper,　dynamic　compression　response　of　metal　orthogonal　corrugated　sandwich　structures　under　impact　loading　is　investigated　theoretically　and　numerically.　Considering　the　effect　of　strain　rate　of　material,　analytical　models　of　dynamic　response　of　metal　orthogonal　corrugated　sandwich　structure　is　developed.　Finite　element　simulation　of　its　dynamic　compressive　response　is　carried　out.　It　is　shown　that　there　is　a　good　agreement　between　the　results　based　on　the　analytical　model　and　finite　element　simulation.　Furthermore,　the　dynamic　compressive　response　of　multi-layer　orthogonal　corrugated　sandwich　structure　is　studied　using　finite　element　method.　Deformation　modes　under　different　impact　velocities　are　obtained　and　the　influence　of　the　number　of　layers　on　the　dynamic　response　is　analyzed.　It　is　found　that　the　mitigation　and　energy　absorption　capacity　of　the　sandwich　structures　can　be　effectively　enhanced　by　increasing　the　number　of　layers　while　the　number　of　layers　have　mild　influence　after　exceeding　four.　©　2020,　Editorial　Staff　of　EXPLOSION　AND　SHOCK　WAVES.　All　right　reserved.