To　analysis　progressive　collapse　behavior　of　single-layer　reticulated　shell　under　severe　earthquake,　based　on　spatial　fiber　beam　element　failure　criteria,　a　simulation　method　on　progressive　collapse　of　shell　is　presented,　which　account　of　mechanical　properties　of　components　after　buckling　and　damage　accumulation　effect　of　combine　hardening　material.　And　a　computation　program　is　developed　correspondingly.　At　last　the　method　and　program　proves　to　be　applicable　by　an　example.