Reinforced　concrete　flat　slab-column　structures,　lacking　the　redundancy　provided　by　a　beam-column　system,　are　susceptible　to　punching　shear　failure　under　extreme　loading　conditions,　which　may　lead　to　progressive　collapse　with　catastrophic　consequences.　A　systematic　review　of　recent　advancements　in　the　progressive　collapse　resistance　of　flat　slab-column　systems　has　been　provided,　categorizing　the　methodologies　into　experimental　investigation,　theoretical　analysis,　and　numerical　simulation.　Experimental　studies　primarily　utilize　the　Alternative　Load　Path　methodology,　incorporating　both　quasi-static　and　dynamic　loading　protocols　to　assess　structural　performance.　Different　column　removal　scenarios　(e.g.,　corner,　edge,　and　interior　column　failures)　clarify　the　load　redistribution　patterns　and　the　evolution　of　resistance　mechanisms.　Theoretical　frameworks　focus　on　tensile　and　compressive　membrane　actions,　punching　shear　mechanism,　and　post-punching　shear　mechanism.　Analytical　models,　incorporating　strain-hardening　effects　and　deformation　compatibility　constraints,　show　improved　correlation　with　experimental　results.　Numerical　simulations　use　multi-scale　modeling　strategies,　integrating　micro-level　joint　models　with　macro-level　structural　assemblies.　Advanced　finite　element　analysis　techniques　effectively　replicate　collapse　behaviors　under　various　column　failure　scenarios,　validated　by　full-scale　test　data.　This　synthesis　identifies　key　research　priorities　and　technical　challenges　in　collapse-resistant　design,　establishing　theoretical　foundations　for　future　investigations　of　flat　slab　systems　under　multi-hazard　coupling　effects.