Impulsive switched neutral systems have a broad and profound research significance owing to their rich dynamics and applications in various applied areas such as science, engineering, physics, and biology. This paper studies the stability problem of nonlinear impulsive switched neutral systems. Based on the common Lyapunov function method and a state-dependent switching rule, sufficient conditions for asymptotic stability are established for nonlinear impulsive switched neutral systems, where impulses and switchings are assumed to occur at the same time. It should be noted that a suitable sequence of impulses and switchings may be used to stabilize unstable neutral systems. Examples are given to illustrate the theoretical results.