Current　Levy　type　suspen-domes　use　loop　cables　which　are　key　elements　and　carry　large　tensions.　The　loop-free　suspen-dome　was　proposed　for　improving　the　collapse　resistance　and　reducing　cable　tensions.　However,　the　collapse　resistance　of　the　loop-free　suspen-dome　after　accidental　failure　of　cables　has　not　been　verified　and　its　key　element　is　not　clear.　In　this　paper,　analysis　on　the　collapse　resistance　of　both　the　Levy　type　suspen-dome　and　the　loop-free　suspen-dome　after　accidental　failure　of　cables　is　performed　based　on　the　AP　method　by　considering　dynamic　effect　and　non-linearity.　The　displacements　and　residual　bearing　capacity　of　34　cable-rupture　schemes　are　discussed,　the　effect　on　the　cable　tension　and　failure　mode　are　also　analyzed.　It　turns　out　that　collapse　resistance　of　the　loop-free　suspen-dome　is　better　than　the　Levy　type　suspen-dome.　The　failure　of　cables　does　not　influence　the　tension　of　remaining　cables　obviously　so　that　the　loop-free　cable-strut　system　has　sufficient　stiffness　and　provides　support　and　restraint　for　the　reticulated　shell.　The　most　important　cable　in　the　loop-free　suspen-dome　is　located　in　the　outermost　layer　of　the　cable-strut　system.　It　is　also　found　that　whether　progressive　collapse　of　the　suspen-dome　occurs　after　accidental　failure　of　cables　depends　on　both　the　bearing　capacity　of　the　reticulated　shell　and　the　residual　contribution　of　the　cable-strut　system.