The　reinforced　concrete　frame　structures　resist　progressive　collapse　through　the　floor　systems　consisting　of　slabs　and　beams.　The　progressive　collapse　resistance　of　the　floor　systems　under　small　deformation　is　provided　by　the　compressive　arch　action　of　slabs　and　beams.　The　existing　theoretical　macro-model　of　the　compressive　arch　action　is　complicated,　involving　many　parameters　but　ignoring　the　influence　of　the　slabs;　as　a　result,　the　existing　model　is　not　feasible　for　the　practical　engineering　design.　Based　on　the　micro-mechanism　of　the　floor　system,　this　paper　establishes　an　analytical　model　of　the　progressive　collapse　resistance　of　the　beam-slab　substructures　under　the　compressive　arch　mechanism.　Compared　with　the　existing　model,　the　proposed　model　significantly　reduces　the　number　of　the　parameters　and　thus　simplifies　the　formula　to　calculate　the　progressive　collapse　resistance.　In　addition,　the　interaction　of　the　slabs　and　beams　in　resisting　progressive　collapse　can　be　considered　by　this　model.　Through　a　comparison　with　the　experimental　results　including　47　beam　specimens　and　6　beam-slab　substructure　specimens,　it　is　found　that　the　accuracy　of　the　proposed　model　in　calculating　the　beam　specimens　is　comparable　to　the　existing　model.　In　addition,　the　calculating　accuracy　for　the　beam-slab　specimens　is　improved　significantly.　This　study　provides　a　reference　for　the　practical　engineering　design　of　the　reinforced　concrete　frame　structures　to　resist　progressive　collapse.　©　2016,　Engineering　Mechanics　Press.　All　right　reserved.