The CFD/CSD algorithm which is a two way fluid structure coupling algorithm is used to study the aeroelastic coupliing characteristics of plate structures. Firstly, the CFD/CSD algorithm is employed to compute the flutter critical velocity of plate structure. The results obtained by the CFD/CSD are verified by the comparison with the experiment results in the open literature. Secondly, the aeroelastic characteristics for three dimensional plate structures with simply supported and clamped edges are analyzed. The variation of flow field distribution and the plate displacement responses under different restricted conditions are claculated. Meanwhile, the influences of the stiffener and structural material parameters on the aeroelastic characteristices of the plate structure are also considered.