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We have investigated vacuum Rabi oscillation of an atom coupled with single-mode cavity field exactly, and compared the results with that of the Jaynes-Cummings (J-C) model.The results show that for resonant case, there is no Rabi oscillation for an atom.For small detuning and weak coupling case, the probability for the atom in excited state oscillates against time with different frequencies and amplitudes from that of the J-C model.It exhibits that the counter-rotating wave interaction could significantly effect the dynamic hehaviour of the atom, even under the condition in which the RWA is considered to be justified.