To remove any trusted third party from the voting scheme, a new concept of secure multiparty computations is defined, i.e., secure multiparty disjunction(SMD), and then a quantum SMD protocol is presented by using local operators and entanglement swapping of Bell states. Based on this primitive protocol of secure multiparty computations, a novel quantum anonymous one-vote veto scheme is constructed, which can meet complete security attributes. Expecially, this scheme does not need any third party to count the votes, while all voters can calculate the voting results together. At the same time, BlockChain is introduced for supervision, so that the voters can verify the validity of the voting content under extreme circumstances. The voting scheme takes Bell states as quantum resource and only performs local single-particle Pauli operators and Bell measurements, so it is feasible to implement this scheme with the present quantum information processing technology. Finally, the proposed voting scheme is simulated in IBM Qiskit, and the simulation results show that this scheme is correct and feasible.