Abstract: Gimbal is one of the key elements of the electro-optic radar stabilized platform. The 3D model of the gimbal in electo-optic radar stabilized platform was built by Pro-E, and the finite element model was built by Ansys after the simplification of the 3D model. The dynamic characteristics of the gimbal were analyzed through finite element theory and Ansys. Different mesh generations of model were compared. The 8-order modal natural frequencies and vibration modes of the gimbals with different materials were obtained, and the harmonic response was analyzed. Results show that the gimbal doesn-t resonate at 0~50Hz, 2 000Hz~8 000Hz， which meets the design requirments.