The topic about how to realize quantum computation has aroused great interest of many people. The small quantum device including Josephson junction (SQUID, e.g.) is a very promising physical system to realize quantum computation. In this paper, through the discussion about the Cooper-pair number-phase quantization scheme of the circuit system coupled by SQUID and mesoscopic LC resonator, and through the rational modulation of the parameter, we derive the J-C model of this coupled circuit under the condition of two-level approximation. According to on this model, we propose a protocol which can realize the transfer of quantum information. According to this protocol, we can carry out the transfer of the charge qubits between the two SQUIDs by utilizing the mesoscopic LC resonator as the data bus.