This article studies the stabilization problem for a category of nonlinear systems. It introduces a novel hybrid control strategy specifically for nonlinear high-order fully actuated (HOFA) systems. The stabilization problem for these nonlinear HOFA systems is transformed into a stabilization problem for impulsive switched systems. This issue is addressed by applying impulsive control in discrete-time and switching control based on the HOFA system approach in continuous-time. Using switched Lyapunov functions, we obtain the criteria for the exponential and asymptotic stabilization of these systems. The effectiveness of this newly presented hybrid control strategy is exemplified by simulations of a robotic manipulator system and a reduced model of the lac operon.