Based on a three-dimensional quantum system which is used to distribute the keys and create the strings of quantum-trits (qutrits) for messages, the batch signature is proposed to create a novel quantum cryptosystem. All of the messages, which are expected to be signed, are encrypted by the private key of the sender during communications. Different from the classical blind signature, an identity verification, an authenticity verification of signatures and an arbitrator's efficient batch proxy signature are simultaneously applied in the present scheme.