In order to resolve the moment disturbance to the fast response of tracking moving targets of the stabilized platforms, 2DOF robustness internal model controller is designed with the part disturbance observer on the foundation of the robustness IMC. First, based on robustness IMC, improve on the system with the part disturbance observer. Following, introducing the controller with no contacting to the error while combining 2DOF controller, to make the disturbance rejected ability and tracking ability apart. At the precondition of assuring the systemic robustness, improve the antidisturbance ability and tracking ability. Ultimately, some simulations and experiments were carried out. While outside frame of the platforms was no movement, inside frame of the platforms does sinusoidal movement with the 0.5 Hz, 1°/s, the 2DOF internal model controller overcome the effect of the friction moment, make the system having better inputrespond characteristic; while outside frame of the platforms does sinusoidal movement with the 1Hz, 6°/s to make the disturbance of the velocity, the stabilization precision of platform is increased from 0.03° to 0.004°.The method is testified to improve the antidisturbance ability when assure the good inputrespond characteristic.