Three　aspects　of　the　triple　interacting　dark　energy　model　are　studied.　The　relation　between　two　types　of　the　triple　interacting　dark　energy　models　is　investigated　first.　Then,　the　concrete　forms　of　the　interacting　terms　are　given　by　supposing　ratios　between　different　energy　components　is　stationary.　Furthermore,　the　stability　of　the　triple　interacting　dark　energy　model　with　different　transfer　terms　is　studied　in　detail,　and　the　complete　table　of　relations　between　the　stability　and　the　transfer　terms　is　given,　we　find　that　only　models　with　transformation　between　matter　and　dark　energy　proportional　to　rho(c)　or　rho(DE),　while　the　transformation　between　radiation　and　matter　is　not　proportional　to　rho(R),　are　stable　against　perturbation,　which　give　strong　restriction　on　the　model　building　of　the　triple　interacting.