Based on the adaptive slide mode control method, we investigated the robust synchronization for a class of chaotic systems with random perturbations. This approach can be applied to may chaotic systems; and the upper bound of random perturbations is not necessarily known in advance and it is estimated through an adaptive control process. Finally, two-scroll chaotic system, Lorenz system and hyperchaotic Rssler system are taken as examples to illustrate the effectiveness of the proposed method.