A　novel　lightweight　sandwich　construction　with　square　honeycomb-corrugation　hybrid　core　(SHCH)　was　fabricated　by　honeycomb-corrugation　assembly　and　vacuum　brazing.　The　out-of-plane　quasi-static　compression　behavior　of　the　hybrid　structures　was　explored　in　detail　by　experimental　measurement,　numerical　calculation　and　theoretical　prediction.　The　proposed　brazed　structures　in　high　density　region　are　found　still　to　have　strength　and　energy　absorption　capacity　significantly　greater　than　the　sum　of　those　of　empty　corrugated　sandwich　and　square　honeycomb-cored　sandwich.　In　addition,　the　compressive　strengths　of　the　proposed　square　honey-comb-corrugation　hybrid　cores　exhibit　obvious　superiority　over　those　of　competing　core　topologies　in　the　high-density　region.