In the recent day mathematics play a prominent role in various field. There are many problems in physical sciences that lead us to the study of dynamical systems having velocities not uniquely determined by the state of systems, but loosely upon it. In these circumstances, the mathematical model describing the dynamical systems in question may be replaced by an inclusion.The random inclusions are the stochastic generalizations of the classical inclusions. The nondeterministic nature of the phenomena in the general area of the biological, engineering, oceanographic and physical sciences, the results in the mathematical description in the form of random inclusions.The random differential inclusions appear quite naturally in the study of diffusion processes and Brownian motion.Many of the natural and physical phenomena are non-linear in nature and do involve the jumps or discontinuities, and therefore, it is interest to study the random differential inclusions. The study of such random phenomena with the help of differential inclusions form a separate and important branch of probabilistic non-linear analysis.