Abstract: To efficiently harvest low-frequency, time-varying rotational energy from the environment and convert it into electrical energy, this paper proposes a magnetic plucking bistable piezoelectric vibration energy harvesting system, and establishes its electro-mechanical coupling model based on the Eulerian Bernoulli beam theory, Hamilton's principle, and Kirchhoff's law. Based on this model, the effects of different driving magnet numbers and magnetic pole arrangements, symmetric and asymmetric bistable on the average power and operating bandwidth are investigated. The effects of different driving magnets on the dynamic response of the energy harvester are investigated by analyzing the amplitude of the magnetic plucking force and the excitation period. The results indicate that the maximum average power is increased by 3.1 times to 4.53 mW for the alternating pole arrangement of the driving magnet compared to the identical pole arrangement. The characteristics of the potential energy distribution of the symmetric and asymmetric bistable energy harvesting systems are comparatively analyzed. The beneficial effects of the asymmetric bistable in controlling the vibration amplitude and suppressing the detrimental vibrational interference of the energy harvester are obtained. By analyzing the time-domain displacement and voltage, phase trajectory, and Poincaré maps of different bistable energy harvesting systems, the results indicate that the asymmetric bistable configuration contributes to decreasing the occurrence of vibrational interference and increasing the output voltage because of the asymmetric distribution of the potential well depth.