This thesis studies with the dynamical behavior of voids in rubbers. Rubber materials have been used in many areas, such as building isolation and wheel tires. When loadings reaches some critical value, the dynamical behavior of the voids in rubbers will change. We will focus on the unstable growth of the voids under implusive load and dead load. The patterns of vibration and maximum deformation of the void are analyzied by adjusting the intensity and speed of the loadings applied on the outer boundary of the rubber sphere.