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Electronic conductance and quantum current distribution of C60 molecular device connected to different terminals are investigated theoretically by using nonequilibrium Green's function approach based on tight-binding theory. The electronic transmission spectra of the C60 molecule from an input terminal to the near- and the far-output terminals are obtained, respectively. The quantum currents inside the C60 molecule are calculated and simulated by the current density method based on Fisher-Lee formula at the energy points E=-1.36 and +1.59eV, where the electron transmission probabilities peak. The results show that some larger loop electronic currents are induced inside the C60, and the quantum current distributions agree well with Kirchhoff quantum current conservation law.