The　multi-loop　cable-string　dome　(MLSD)　is　a　complex　suspended-dome　structure.　Sudden　failure　of　any　cables　will　cause　a　very　significant　dynamic　impact　on　MLSD.　Based　on　the　AP　method,　this　study　proposes　a　dynamic　analysis　method　to　analyze　the　dynamic　response　of　MLSD　due　to　sudden　cable　broken.　The　sensitive　analysis　of　different　parameters　was　conducted,　such　as　failure　paths,　failure　time,　damping　ratio　and　initial　loadings.　The　ideal　parameters　suitable　for　MLSD　are　recommended.　The　dynamic　analysis　results　show　that:　the　displacement　and　internal　force　response　of　the　remaining　MLSD　due　to　cable　sudden　broken　will　be　greater　than　the　cable　slowly　failure.　The　dynamic　amplification　factor　should　be　seriously　considered　when　suffered　from　cable　sudden　broken.　Moreover,　the　dynamic　amplification　factor　(DAF)　of　some　responses　will　be　larger　than　2.0　recommended　by　current　design　codes.　The　discussion　on　displacement　DAFs　due　to　different　cables　sudden　broken　shows　that　the　DAFs　due　to　the　sudden　failure　of　any　cables　of　the　same　loop　are　the　same.　The　DAFs　caused　by　sudden　failure　of　cables　on　the　outer　loop　will　be　significantly　greater　than　that　of　other　loops.　Both　DAFs　due　to　cable　failure　of　the　outer　loop　and　the　string　are　significant,　but　the　DAFs　value　distribution　are　quite　different.　The　dynamic　response　caused　by　multiple　cable　breakages　is　not　always　greater　than　that　of　a　single　cable.　Copyright　©2021　Engineering　Mechanics.　All　rights　reserved.