In this paper we study the class of differential variational inequality(DVI) in a finite-dimension Euclidean space. We study stability and perturbation of the DVI under the OSL condition. Besides, we establish a Prior Bound Theorem, which is a useful tool to prove stability of DVI. In this paper, we replace the classical Lipshitz continuity by one-sided Lipschitz condition, which is important improvement of the conventional Lipschitz continuity.