Under control of applied laser pulse, the dynamical behavior of double cavity coupled system with a two-level quantum bit is investigated. Based on the system interaction Hamiltonian, the analytical solutions of system quantum state excited probability are obtained. The system dynamic characteristics are discussed by numerical simulation in three specific cases. In the case of applied laser resonating with cavity, bit and cavity field mismatching, the maximum excitation probability of cavity mode is less than 0.07. The cavity mode is in a non-excited state, and the bit excitation probability appears instantaneous decay. Under the condition of strong coupling between bit and cavity mode, the excitation probability of cavity mode is approximately 0.5. The cavity mode is in the state of semi-excitation, and the bit excitation probability appears high frequency oscillation. Under the condition of large jumping between cavity fields, the maximum excitation probability of cavity mode is less than 0.07. The cavity mode is in the non-excited state, and the bit excitation probability appears high frequency oscillation.