The operation principle of anti-resonance vibration machine was analyzed. The dynamic model of anti-resonance vibration machine with nonlinear spring was established. A new method for solving nonlinear equation based on general finite element method was put forward, the solution was compared with numerical solution, the validity of the solving method was validated. Then the affection of nonlinear and dynamics parameters to the amplitude stabilization was analyzed. the conclusion can be drown as: when the anti-resonance frequency ratio is 1~2,increase the nonlinear of spring can improve the amplitude stabilization, when the anti-resonance ratio is bigger than 3,there is less affection to the amplitude stabilization by nonlinear of spring. The amplitude stabilization can be improved by increasing anti-resonance frequency ratio.