Optical axis jitters, which arise from different factors such as wind shaking and structural oscillations of optical platforms, have a significant deleterious impact on the performance of adaptive optics systems. When conventional integrators are utilized to reject such high frequency and narrow band disturbance, the benefits are quite small; even worse, the system may fail to operate normally due to the amplification of jitters. On the basis of observed data, its frequency characteristics were analyzed. With the help of the Smith predictor, one effective and stable technique to design a controller was proposed on account of the peak frequency and bandwidth of the jitter. The relationship between controller parameters and filtering features were discussed, and the robustness of the controller against changing parameters of the control object was investigated. Results show that the variance of one axis aberrations caused by optical axis jitters can be reduced by about 60% as a result of exploiting novel controllers, which compensates the deficiency of conventional controllers.