Based on the experiences learned from earthquakes, it is recognized that the losses to the non-structural component can be significant. This study aims to identify the overturning limit of free-standing rigid bodies. A numerical solution on the input level of one-sine pulse as a substitute of a near-fault ground motion is derived for the overturning of rigid bodies. Based on the rigid blocks rocking and overturning experiments, rocking moment of gravity can be reduced to time-invariant parameter. This enables us to avoid the computation of complicated differential equation. By the conservation law of angular momentum and the conservation law of mechanical energy, the overturning limit of certain geometric shape under vary frequency ground motion can be defined, and can be a reference to the further research.