Abstract: A model of a class of hybrid impulsive and switched singular systems is developed, based on a kind of controlled singular systems and hybrid impulsive and switched control. The design of hybrid impulsive and switched control for the system is investigated under the condition that the number of candidate controllers is limited. A sufficient condition of quadratic stability for the impulsive and switched systems is given with a switching law by way of convex combination and single Lyapunov function. According to the restricted system equivalence of singular systems and their structural characteristics, an allowed impulsive control is provided to ensure the consistent state and make the system to be quadratically stable. An example is given to illustrate the effectiveness of the design proposed.