Passive dynamic vibration absorber (PDVA), whose structural parameters can not be adjusted and vibration frequency band is single, is not suitable for broadband vibration. To solve the above problem, first, the magnetorheological elastomer (MRE) is used as the stiffness element to design an adaptive dynamic vibration absorber (ADVA). Second, the composition and MR effect of MRE are introduced and analyzed. Then, the current control method in the process of dynamic vibration absorber is proposed to eliminate the new resonance phenomenon which is caused by the addition of a vibration absorber to the controlled system. Finally, the simulation and experiment results show that the design can broaden the vibration frequency band to 11.37Hz. At the same time, the new resonant peak of the controlled system is eliminated effectively by the proposed control method.