In most cases, there is only one singer. When the original signer can’t sign the document personally, in order to ensure the validity of the document, and prevent excessive concentration of the rights, the signer can entrust more than one person to sign the document and validate it. Quantum key distribution protocol is used to ensure the security, and the signature and verification are carried out by using unitary transformation. There is no requirement for the order of signature and verification, and the number of signature and verification can be different, which greatly improve the work efficiency. The correctness and security analysis show that the technical implementation of the scheme is simple, and it can resist active and passive attack. It is a safe and realizable quantum multi-proxy blind signature scheme.