Abstract: The velocity of atmosphere turbulence is divided into two parts, the mean velocity and the fluctuating velocity. The aerodynamic force is solved by first-piston theory of supersonic aerodynamics. Aeroelastics differential equations of a three-dimensional panel with thermal effect to atmosphere turbulence are set up by using the Von Karman large deformation strain-displacement relation and Galerkin approach. The stability of the panel with thermal effect is analyzed in frequency-domain and the mean square response of the panel is calculated basing on random theory. The results show that when the mean pressure is close to and over the flutter critical pressure, the mean square root of response of a structure increases with the rise of the mean pressure or temperature. The mean square root of response of the structure has a pronounce change to the strength of atmosphere turbulence only when the mean pressure is close to the flutter critical pressure, but it is insensitive to the change of integral measure of atmosphere turbulence.