We study temporal properties of dynamical systems; specifically, we strive to determine a set of initial states that leads the solutions to reach desired states avoiding a predetermined unsafe set. This property, which we call safe reachability, has been studied in literature for autonomous systems using barrier function and Barrier densities . In this paper, we generalize a sufficient condition for safe reachability of autonomous system to switched systems under arbitrary switching signals. The condition relies upon the existence of a common Barrier density function for each subsystem. We apply the condition using the sum of squares method together with Putinar Positivstellensatz.