In order to investigate effects of marble plate shape on the natural frequency and damping ratio, vibration analysis of the small base isolation system was done. The increase in the natural frequency can be suppressed by matching the radius of curvature of the concave spherical surface and the marble. Furthermore, mounting some rivets at the surface of marble bearing or boring the surface of marble bearing, the damping ratio of this system in all cases indicates a little bit lower. It is possible to adjust the natural frequency and damping ratio of the system by changing the marble shape.