In order to obtain higher performance in space-to-ground optical communications, the acquisition, pointing and tracking (APT) system needs to have high precision. The vibration of satellites is the most important factor which affects the accuracy of APT. The suppression effect of traditional feedback control is bad in the mediumto-high frequency range of satellites′ vibrations. For this situation, adaptive algorithm is introduced into feedforward control and two kinds of adaptive feedback composite algorithms based on the least mean squares (LMS) and recursive least squares (RLS) algorithms are designed. Feedback control, LMS composite control and RLS composite control are verified by simulations. The results show that the effect of adaptive feedforward composite control is better for the medium-to-high frequency vibrations and the use of adaptive algorithms with faster convergence and higher steady-state precision can improve the suppression effect.