Stability is a significant property for a robot hand grasp to perform complex tasks similar to human hands. The common method to investigate the stability of robotic multi-fingered grasp system is Lyapunov direct method, but usually it is rather difficult to construct a proper Lyapunov function. Avoiding the hard work of constructing a Lyapunov function, we propose the sufficient conditions for stability of the robotic grasp system. Stability is a significant property for a robot hand grasp to perform complex tasks similar to human hands. The common method to investigate the stability of robotic multi-fingered grasp system is Lyapunov direct method, but usually it is not difficult to construct a proper Lyapunov function . Avoiding the hard work of constructing a Lyapunov function, we propose the sufficient conditions for stability of the robotic grasp system.