Progressive　collapse　of　building　structures　is　generally　triggered　by　a　local　failure　due　to　accidental　actions,　followed　by　subsequent　chain　effect　of　the　structures　which　may　result　in　wide　range　failure　or　even　collapse　of　the　entire　buildings.　Since　the　“911”　event,　progressive　collapse　of　building　structures　has　been　widely　concerned　by　engineers　and　researchers.　This　paper　assesses　the　current　researches　on　this　issue　from　experimental　study,　numerical　simulation　and　theoretical　analysis.　Given　the　limitation　of　costs　and　difficulties　of　experimental　tests,　the　experimental　studies　investigate　the　collapse　mechanism,　such　as　development　of　stress/strain　and　damage/failure　of　materials,　mainly　via　the　scaled　down　specimens　of　structural　components　and　substructures.　On　the　other　hand,　the　collapse　behavior　of　entire　building　structures　is　analyzed　via　the　numerical　methods,　such　as　the　finite　element　method　and　the　discrete　element　method.　Further,　the　collapse　resistance　demand　and　the　robustness　assessment　for　building　structures　are　theoretically　studied　in　depth　in　which　the　simplified　theoretical　models　of　the　collapse-resisting　demand　and　the　collapse　risk　assessment　are　proposed　respectively.　At　last,　the　design　method　to　prevent　progressive　collapse　for　building　structures　is　also　discussed.　©　Wang　et　al.;　Licensee　Bentham　Open.