A　new　multiparty　measurement-device-independent　quantum　secret　sharing　(MDI-QSS)　protocol　is　proposed　based　on　entanglement　swapping.　All　the　measurement　tasks　are　delegated　to　an　untrusted　party,　eliminating　all　detector-side-channel　loopholes.　Only　Einstein-Podolsky-Rosen　(EPR)　pairs,　single　photons　and　Bell-state　measurements　are　required　irrespective　of　the　number　of　participants.　Compared　with　existing　MDI-QSS　protocols,　no　additional　unitary　operations　or　Greenberger-Horne-Zeilinger　(GHZ)-state　measurements　are　needed.　Our　protocol　is　feasible　experimentally　and　holds　inspiring　potential　for　the　application　in　practical　multiparty　quantum　communication　networks.