On the basis of the charge discreteness,the non-dissipative coupled mesoscopic circuit is quantized,the energy spectrum of the circuit is given under non-interaction Hamilton eigenstate basis vectors.In charge space,supposing the system has a symmetry under translation,the property of quantum current of mesoscopic circuit have been investigated and analysed by solving eigenvalue equation of current.The results show that the energy spectrum and quantum current of the mesoscopic circuit are not only related with the circuit parameters,but depend on the quantization character of the charge evidently.