This article designs an active/semi-active hybrid isolator using magnetorheological elastomer isolator and piezoelectric stack actuator to suppress the wide-frequency vibration in precision platform, which can be switched to active isolator, semi-active one, and passive one according to the spectrum signature of the excitation. First, the structure of the hybrid isolator is introduced. Then, the dynamic model of the hybrid isolation system is established, the model parameters are identified, and the switching condition for the hybrid isolator is derived by experiments. Next, considering variable amplitude and frequency vibration of the isolated system, an active and semi-active fuzzy switch controller is designed for piezoelectric stack actuator and magnetorheological elastomer hybrid isolator, which are independent of the system model, self-tuning, and robust. Finally, the numerical simulations are conducted under variable frequency excitations to evaluate the performance of the designed fuzzy switch controller, and the results show that the hybrid isolator, combined with the fuzzy switch controller, can attenuate full frequency vibration effectively.