Motivated　by　the　quantum　Fourier　transform　(QFT),　a　sequential　quantum　multiparty　signature　(QMS)　scheme　is　proposed.　Several　signatories　jointly　accomplish　the　task　in　a　chaotic　encryption　system.　Alice　generates　and　sends　the　encrypted　message　with　the　quantum　Fourier　transform.　Signatories　provide　individual　signatures　in　a　certain　order,　while　Bob　verifies　the　authenticity　of　the　combined　multiple　signatures　after　the　eavesdropping　check　phase　with　help　of　the　arbitrator.　Analysis　shows　the　correctness　and　security　of　the　proposed　scheme.　This　QMS　protocol　increases　the　efficiency　of　verification　compared　to　arbitrated　quantum　signatures　and　broadcasting　multiparty　signature.　This　QMS　protocol　will　be　widely　used　for　online　e-government　and　e-business　systems.