The hybrid system is a kind of dynamic systems on time scales, its evolution demonstrates the interplay of continuous variables and discrete events. The research of the stability for control systems is an important issue to the theory exploring and engineering practice. For the hybrid system, even if each subsystem is stable, it does not mean that the whole system is stable; on the contrary, if one or several subsystems are unstable, the whole system may also be stable, which is the complexity and specificity of the hybrid system. In practice, when the designed system is in a mathematically unstable state and it swings sufficiently close to this state, this performance is acceptable according to the definition of the practical stability. Therefore, it is meaningful to propose the concept of the practical stability on time scales for hybrid systems. The main contribution is to present the practical stability analysis of hybrid systems in terms of two measures on time scales. First, some concepts of the practical stability in terms of two measures are introduced into the research of hybrid systems on general time scales. Then, by means of Lyapunov functions and the comparison principle, some sufficient conditions of the practical stability for hybrid systems in terms of two measures on general time scales are obtained. Above work enriches and promotes the research on the stability of hybrid systems.