Vibration absorber usually aims to control the vibration in engineering, but few efforts focus on suppressing the low and variable frequency vibration by tuning the natural frequency. To obtain the optimal tooth layer parameters of the electromagnetic vibration absorber in this paper, the working bandwidth and corresponding linearity are reasonably optimized by establishing a nonlinear multiobjective programming function, and the results indicate that the working performances are significantly improved. The simulations illustrate that the optimized vibration absorber is within the effective stroke of the negative stiffness characteristic, and the reduction of its natural frequency can realize an apparent control effect in a wide low-frequency band for variable frequency vibration by adjusting the coil current. The experimental results demonstrate that the natural frequency of the vibration absorber is tuned to a reasonable value by adjusting the current, and a notable vibration suppression effect is achieved under the variable frequency. As the current increases from 0 to 550[Formula: see text]mA, the natural frequency of the vibration absorber can be tuned from 9[Formula: see text]Hz further to 7.2[Formula: see text]Hz for vibration control, and the vibration suppression effect can reach 62.1%.