By introducing phononic crystals and metamaterials theory into designing the magnetorheological elastomer vibration isolator, the local resonant isolator was constructed, and the complete band gaps and the amplitude distribution in low frequencies were studied. The results show that, by changing the mass shapes in metamaterial unit,the system exits the resonant band gap in low frequency, and gains multiple large Bragg scattering band gaps in higher frequencies. These will provide new ideas for the design of vibration isolator.