Random disturbance is the most common disturbance of the aerospace system. Investigation on the control of the airfoil system excited by the random turbulence is important and critical for designing of the airfoil. The main difference from most of outcomes of the suppressing airfoil flutter lies in that control equation of the airfoil system is studied in the stochastic domain instead of in the time domain. The ? Ito differential equation of the two-degree-of-freedom（2-DOF) airfoil parameter excited by random turbulence is found，then the first or second order moment equation are derived from the It(o) differential equation in the stochastic domain. The optimal control theory applies to the second order moment equation. The numerically simulation shows that especially the mean airspeed in unstable regime，the optimal control input on the airfoil system can make the system convergent to zero in short time，So the optimal control can suppress random flutter of the airfoil system effectively.
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