In this paper, a class of switched uncertain cellular neural networks (UCNNs) systems with unbounded delay under arbitrary switching were investigated. By using the homeomorphic mapping theorem and M?matrix theory, the sufficient conditions for the existence, uniqueness and exponential stability of the equilibrium point of UCNNs systems with unbounded delay were obtained. By Lyapunov functional approach, we studied the robust exponential stability of arbitrary switching delay UCNNs systems. Sufficient conditions to guarantee the global exponential stability of switched delay UCNNs systems were also derived, and the stability was robust to both parameter perturbations and switching perturbations.