As an important part of quantum cryptography, quantum blind signature has attracted more and more attentions in recent years. A protocol of quantum blind signature based on two-qubit and three-qubit maximally entangled states is proposed. By using the special characteristics of quantum entanglement, the blindness of a message is realized, and the recovery of this message is conducted by the help of the quantum coherence principle. In the proposed protocol, the operation on qubits via quantum logic gates is used for the realization of the quantum state expression of two-bit classical information. Finally the proposed protocal is confirmed to satisfy the properties of undeniability, unforgeability and blindness. Based on the quantum key distribution and one-time pad technology, the absolute security of the proposed protocol is guaranteed. Moreover, the proposed protocol is more efficient than other existing protocols.