Abstract: A two-level atom whose center of mass is trapped in symmetric double-well coupling with a single mode cavity field was considered. The analytical expressions of the wave function and atomic population inversion for the whole system were worked out by solving the Schro ?dinger equation. Then the time evolution of the atomic population inversion was discussed for different initial states of the cavity field, such as fock, coherent and thermal states was analyzed. Meanwhile, the influence of motion of atomic mass centre on population inversion was considered. The result shows that atomic spontaneous emission rates is dependent on the initial states of the cavity field, potential well locations and relevant factors sensitively. Thus the atomic spontaneous emission rates can be control by selecting suitable initial states, potential well locations and relevant factors effectively.