The invention discloses a Hamilton quantum arbitration signature and verification method based on quantum blind calculation, which comprises the following steps that a third communicator distributes aHamilton model to a first communicator and a second communicator; the first communicator prepares to-be-signed information represented by n quantum bit strings; the first communicator conducts quantum blind calculation on the to-be-signed information to obtain a measurement base; the first communicator signs the to-be-signed information by utilizing the Hamilton model; the second communicator conducts un-signing by utilizing the Hamilton model to obtain a verification quantum bit string; the third communicator verifies whether the first communicator is legal or not by verifying whether the to-be-signed information and the verification quantum bit string are the same or not; if legal, the second communicator uses the measurement base to measure the verification quantum bit string so as toobtain a measurement result; and the third communicator controls whether the measurement result is transposed or not according to the stored control parameters to obtain binary mode payment information. According to the Hamilton quantum arbitration signature and verification method based on quantum blind, the safety of the signature verification process is improved, and a verifier verifies the signature without the need for restoring the original information.