In this paper, the dynamic model of T-tail is introduced, and the relationship among the natural frequency, the supporting stiffness, the supporting point position and the flutter velocity is analyzed through the optimization process. The optimization for minimum weight, the supporting stiffness and the supporting point shift for optimization variations, and the flutter speed and the natural frequency for optimization constraints. Lastly, we plot two variable curves (support stiffness VS. flutter speed, Flutter velocity variation VS. Z coordinate Variation), and draw a conclusion that the stiffness and supporting position variations can be more beneficial to enhance the flutter velocity.