In this paper we investigate the dynamics of prey-predator model of holling type II response function. The system is described by a system of ordinary differential equations. The boundedness properties, long term behaviour of the system, equilibrium points are identified. Local stability analysis is discussed at each of its equilibrium points. Global stability is studied by constructing suitable Lyapunov’s function. We proved that the system is both locally and globally asymptotically stable. Further Numerical simulation is performed and in support of analytical study.