Gas film damping can effectively suppress multi stage vibration of aeroengine blades which has the advantages of simple structure and small added mass. This paper focuses on the flat plate structure with gas film damping, establishes the vibration model of a flat plate with gas film damping, derives the expression of vibration suppression rate under the influence of the temperature; Using the finite element method, study the effects on the vibration suppression rate of gas film damping structures under uniform and non-uniform temperature fields. The results is:①Flat plates with air film damping have a high vibration suppression rates under uniform and non-uniform temperature fields; Under this two temperature fields, when the temperature field of the flat plate increases from 20℃ to 600℃, the increase in vibration suppression rate of gas film damping structure is less than 10%; ②When the gas temperature inside the gas film increases from 20℃ to 600℃, the increase in vibration suppression rate of gas film damping structure is less than 4%, the variation of gas temperature in the gas film has less effect on the vibration suppression rate of a flat plate with gas film damping, can suitable for the different temperature environments; ③When the vibration of the flat plate is in the second torsional vibration mode, the vibration suppression effect of the gas film damping structure decreases sharply, the vibration of the absorbing sheet will intensify the vibration of the flat plate, the phenomenon may occur under different temperature gradient.