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Group blind signature (GBS) is the combination of group signature and blind signature (BS) concepts [1]. GBS allows any member of the group to generate a valid signature on behalf of the group, and the signer as a group member has no knowledge of the specific content of the message he or she is signing. In order to improve the suitability of group blind signatures for practical applications, it is significant to study GBS schemes that can flexibly add and remove group members. Therefore, in this article, we will propose a dynamic quantum group blind signature (QGBS) scheme based on four-particle cluster states. Cluster states are characterized by maximum connectivity and continuous entanglement. Some quantum technologies provide unconditional security for our scheme, such as quantum one-time pad (QOTP) and quantum key distribution protocol. If there is a dispute about who generated the signature, our scheme can identify the signer by opening the signature. And through security analysis, it can verify that our newly designed scheme satisfies the security characteristics of QGBS scheme as well as resists common attack. [ABSTRACT FROM AUTHOR]