Abstract: We report a measurement of the nu(mu) charged current quasielastic cross-sections on carbon in the T2K on-axis neutrino beam. The measured charged current quasielastic cross-sections on carbon at mean neutrino energies of 1.94 GeV and 0.93 GeV are (11.95 +/- 0.19(stat)(-1.47)(+1.82)(syst)) x 10(-39) cm(2)/neutron, and (10.64 +/- 0.37(stat)(-1.65)(+2.03)(syst)) x 10(-39) cm(2)/neutron, respectively. These results agree well with the predictions of neutrino interaction models. In addition, we investigated the effects of the nuclear model and the multi-nucleon interaction.