The stochastic chaotic characteristics of supersonic two-dimensional airfoil were studied by Kapitaniak method. Nonlinear aerodynamics and aerodynamic moments of supersonic two-dimensional airfoil were deduced by the third-order piston theory. The 2 degree of freedom differential equation of motion of the airfoil with pitch cubic nonlinearity under stochastic disturbance was established and written in the form of 4-dimensional state equation. Then the system state equation was reduced to 2-dimensional by using the central manifold method. After that, the combination of the methods of cumulant neglect and non-Gauss truncated was used to obtain the two-dimensional probability density function and the probabilistic time-difference diagram of the system. Therefore, the Kapitaniak method was used to analyze the stochastic chaotic characteristics of the system under different disturbance intensities. Finally, the system response, Poincare cross-section diagram and the largest Lyapunov exponent were used to verify the stochastic chaotic characteristics of the system. The research is very important for the stability, safety and response characteristics of the supersonic two-dimensional airfoil in complex environment.